14. A yo-yo has a moment of inertia that can be modeled by I = ½ MR2. When a yo-yo is “sleeping” its axle, radius r, is spinning inside a loop at the end of the string. Suppose the yo-yo is initially spinning with a period T and is “sleeping” in a loop with coefficient of friction μk. Derive expressions for the time t it takes for the yo-yo to completely stop and the number of revolutions n it will make during this time.

Q: Water flows at 1 m/s from a hot water heater, through a 45o kPa pressure regulator. The pressure in…

A: According to Bernoulli's theorem P +  hρg + (1/2) ρv2 = constant  we can apply Bernaulli's theorem…

Q: 1. What is the net flux inside the enclosed sphere, If 5nC and 3nC charges are inside it? 2. If…

A:

Q: spaceship is approaching Earth approximately 0.8c measured relative to you. How fast is it moving as…

A:

Q: 1. If all parts of a light beam have a constant phase relationship, with the same wavelength and…

A: 1. if all part of a light beam have a constant phase relationship, with the same wavelength and…

Q: a bucket of water is raised from the bottom of a well to the top in 20 seconds. it took 5000 j to…

A: Given data:   Time (t) = 20 s Work done (W) = 5000 J Required: Power (P)

Q: Given data : Mass = 50 kg Density 2210 kg / m3 Find volume

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Q: 3/180 The resistance to motion of a certain racing tobog- gan is 2 percent of the normal force on…

A:

Q: 2. A gas having a volume of 12 gal has a pressure of 0.24 MPa at 24°C. If the gas constant R is…

A: Given data as per question volume=12gal pressure   =0.24MPa temperature  =   24C

Q: Select all the field forces. O Tension O Frictional Air resistance Electrical Magnetic O Applied O…

A: Field forces:

Q: A bicyclist rides along a circular track. If the bicyclist travels around exactly half the track in…

A: Given: The distance traveled by the bicyclist is half of the circular track. The time interval is 10…

Q: An electric bulb below lights up because of an induced current. What will you do in order to…

A: To increase the intensity of the bulb, first we need to increase the magnetic field strength, then…

Q: The ideal gas law relates the pressure P, volume V, absolute temperature T, and amount of gas n. The…

A: Constant Pressure P1=2.2 atm, initial volume V1=28500 ft3=807.03 m3, initial temperature T1=-15…

Q: One of the most important windows to the mysteries of the cosmos is the 21 cm line. With it,…

A:

Q: A 50-watt lightbulb and a 100-watt lightbulb are each operated at 100 volts. Compared to the…

A: Given data:  Power of first lightbulb (P1) = 50 W P2 = 100 W Voltage (V) = 100 V Required:…

Q: 3. Two identical resistors connected in parallel have an equivalent resistance of 40. ohms. What is…

A:

Q: A 1.50 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring with…

A:

Q: Pluto and its moon Nix are separated by 48700 km. An undergraduate researcher wants to determine if…

A: The Telescope can distinguish between Pluto and it's moon nix only if the angular resolution is less…

Q: A 4.50-volt personal stereo uses 1950 joules of electrical energy in one hour. What is the…

A: Given data:   Voltage (V) = 4.50 V Energy (E) = 1950 J Time (t) = 1 hour = 3600 s Required:…

Q: What is the acceleration of a 5000kg body moving on a surface inclined at an angle of 25 .?

A:

Q: While attempting to forge a sword in Skyrim, you obtain an iron ore sample of unknown mass to work…

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Q: Q.2 Put the word (True) or the word (False) of the flowing expressions; True False 1. A partical is…

A:

Q: The siren of an ambulance has a frequency of 1495 Hz when the ambulance is stationary. If a car…

A: Given data:  Frequency (f) = 1495 Hz The source is stationary and observer is moving towards source.…

Q: A runner starts from rest and runs with a constant acceleration of 2.51m/s. How far has she run…

A: Given that - Initial speed(u) =0m/sec Constant acceleration (a) =2.51m/sec^2 T=3.48sec To find that-…

Q: The figure shows a monochromatic beam of light of wavelength 558 nm incident on a slab of crown…

A:

Q: Task: A Satellite Activity 2 of 4 If the satellite is put into a new circular orbit of a smaller…

A: If the satellite is put into a new circular orbit of smaller radius how Fg and speed will change.

Q: A student sits on a rotating stool holding two 4.0 kg objects. When his arms are extended…

A: Given: mass of objects (m) = 4.0Kg            moment of inertia of student and stool (I) = 3.0 Kgm2…

Q: 1. A turntable with a rotational inertia of 0.50 kg m? and a radius of 0.40 meters is subjected to a…

A:

Q: 5. In the figure shown, the 0.3-m by 0.3-m square plate is 5-mm thick. It had a triangular notch…

A: We have to find gyradius in y-axis

Q: If you were to place a 3kΩ resistor across a 9 volt battery, what is the power dissipated from this…

A: Given data:  Resistance (R) = 3 kΩ = 3000 Ω Battery (V) = 9 V Required: Power (P)

Q: A 1.50 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring with…

A: The mass of the block is M=1.50 kg The spring constant is k=630 N/m

Q: While running on the sidewalk at 5.2m/s, you hear an ambulance approaching you from behind. It is…

A: The observed frequency (fo) can be found using the Doppler effect formula, fo=fsv+v0v+vs fs is the…

Q: Pickured below is a melal disk (=0-3700 m) and (m=2.435 kg), The disk starts at rest, but beging to…

A:

Q: EXAMPLES : CLASS WORK Q1: (Page 21, 1.11. Exercise, Proble No. 1) Express: (a) 267 g in kg

A: Given:-  a)  267 g into kg  We know that  1 g = 11000kg So267 g = 2601000kg 267 g = 0.267 kg

Q: Starting from rest, a uniform cylindrical wheel (I=M R²) with 1.0 m diameter is rotating under a…

A:

Q: An electron experiences a magnetic force of magnitude 5.60 x 10^{-15} N when moving at an angle of…

A: Given, magnitude of magnetic force experience by an electron, F = 5.60×10-15 N magnetic field in the…

Q: ds where you are standing on a balcony. The balcony is 4.0 m catch the keys 1.5s later. elocity of…

A:

Q: Translational equilibrium is achieved when the sum of all forces acting on an object is zero. True…

A: When an object moves in such a way that every particle of the object moves the same distance in the…

Q: The resistance of a 60.-watt lightbulb operated at 120 volts is approximately (1) 720 Q (2) 240 Q…

A: Power P=VI  Also V=IR  R=V/I

Q: If the converging lens in a slide projector has a focal length of 116.00 mm and the slide is located…

A:

Q: 2. Acceleration is always in the direction: a) of the initial velocity c) of the final velocity e)…

A: According to Newton's second law The net force acting on a body is equal to rate of change of…

Q: If you are filling a tank with water at the rate of 10 liter per min. How long (in hours) will you…

A: Given data :- rate of filling water Q = 10 liter/min side of a cubical tank a = 100 cm = 1 m

Q: Also known as a supporting O Normal Force Gravitational Force Tension Force

A: Also known as a supporting force which balances the weight of an object or a person against a…

Q: Two students are standing 3.30m apart. One has a mass of 64.0kg and the other a mass of 75.0kg. What…

A: Given data:  Distance (r) = 3.30 m Mass (m1) = 64.0 kg and m2 = 75.0 kg Required: The gravitational…

Q: A device operating at a potential difference of 1.5 volts draws a current of 0.20 ampere. How much…

A: Given Data: The potential difference is: V=1.5 V The current in the circuit is: I=0.20 A The time…

Q: gravity and inertia interact to produce the path of an orbiting satellite

A: Solution

Q: A football player kicked a football giving it an initial velocity of 27 m/s. The football leaves the…

A:

Q: A magnetic field of strength 0.29 T is directed perpendicular to a plane circular loop of wire of…

A:

Q: 112. Boat A moves with a constant velocity of 20 ft per sec, starting from the tion shown in Fig.…

A: The Total distance covered in x-direction by the projectile in 5 seconds is 301 + 20*5 = 401 ft. The…

Q: An air-filled cylinder with a movable piston has a heat reservoir in contact with it. The heat…

A: Given data:  Heat added (Q) = 850 J Work done by the piston (W) = 437 J Required:  The change in…

Q: Find the compoent of gravity down the slope in the diagram. 20 kg 40

A: Given Data: The mass of the slope is: m=20 kg The angle of slope is: θ=40°

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.