A merry-go-round starts from rest and accelerates uniformly over 19.5 s to a final angular velocity of 5.00 rev/min. (a) Find the maximum linear speed of a person sitting on the inferry-go-round 3.00 m from the center. (b) Find the person's maximum radial acceleration. (c) Find the angular acceleration of the merry-go-round. (d) Find the person's tangential acceleration.

Q: Unpolarized light of intensity Io = 650 W/m² is incident upon two polarizers. The first has its…

A: Intensity of unpolarized light is The first polarizer has vertical polarizing axis.The second…

Q: An astronaut is flying at a distance of 317kms from the center of a blackhole of mass 2E32 kg. From…

A:

Q: A wave on a string is described by D (z, t) = (2.2 cm) x sin (2x (z/ (8.4 m) + t/ (0.20 s) + 1)].…

A:

Q: An electric motor is rated to have a maximum power output of 0.79 hp. If this motor is being used to…

A:

Q: A straight conductor carrying a current i = 9.7 A splits into identical semicircular arcs as shown…

A: b-6Given:The current in each wire is 9.7 A.The radius of the loop is 3.7 cm.

Q: An electron moves in a circular path perpendicular to a magnetic field of magnitude 0.230 T. If the…

A: Dear student, As per company's guidelines I'm answering only part (b) as part (a) is already…

Q: A 35.0 kg mass hangs from a steel wire. The unloaded length of the wire is 3.05 m and it has a…

A: Mass hanging from steel wire,                     Initial length of an steel wire,…

Q: A loaded ore car has a mass of 950 kg and rolls on rails with negligible friction. It starts from…

A: Given Data:The mass of the car inclination angle Speed of the car Time From above Diagram:Force…

Q: A cart of mass 200.0 g is attached to a horizontal spring of spring constant 75 N/m. The cart has…

A:

Q: 8. Find the ratio of mass of a particle in frame S' to S when the particle moving with velocity…

A:

Q: Hi! I have a question :) By adding 25 kJ to solid material A, 4.0 kg will melt. By adding 50 kJ to…

A: Latent heat of fusion, also known as enthalpy of fusion, is the amount of energy that must be…

Q: 3. A single slit of width 0.31 mm is illuminated with monochromatic light of wavelength 480 nm, and…

A:

Q: Three moles of an ideal gas at 135C and 0.5 atm is allowed to expand 1 atm at a constant pressure to…

A:

Q: A certain boat displaces a volume of 4.5 m° of water. (The density of water is 1000 kg/m.) a. What…

A: volume of water  displaced ,V = 4.5 mdensity of water = 1000 kg/m3density of water = 1000 kg/m3

Q: One billiard ball is shot east at 2.5 m/s. A second, identical billiard ball is shot west at 1.2…

A:

Q: Which example demonstrates only potential energy? O a fish swimming in a lake O an ox taking a nap…

A: The energy possessed by an object by virtue of its position is called potential energy. The energy…

Q: 1. A cylinder (mass M, radius R) is wrapped by a rigid light string. One end of the string is fixed…

A:

Q: Compressed air can be pumped underground into huge caverns as a form of energy storage. The volume…

A: From ideal gas law,Thus, we can find the internal energy to be,

Q: A fan has four blades attached to a central shaft. The blades are lf = 17 cm long and each blade…

A: Total number of blade Length of each blade Mass of each blade Initial angular speed Final angular…

Q: A wheel of radius 30.0 cm is rotating at a rate of 3.60 revolutions every 0.0910 s. Through what…

A:

Q: The top of a descending ski slope is 50 m higher than the bottom of the slope. A 60-kg skier starts…

A:

Q: An object is placed 7.7 cm in front of a concave mirror of radius of curvature 10-cm. 1)…

A: Object is placed at a distance  in front of concave mirror.Radius of curvature is Find:(1) Image…

Q: A monkey has a 50 cm long tail swinging through circular arcs.  a. The moneky prepares to swing…

A:

Q: 50. | Sports doctors are very concerned about brain injuries in con- BIO tact sports. Brain injuries…

A: Mass of player m = 95 kg Speed of player v = 4.5 m/ sWrite the expression for the force and…

Q: A car accelerates uniformly from rest to 29.7 m/s in 8.07 s along a level stretch of road. Ignoring…

A:

Q: 1. An individual holds a 20 Kg bar, 5m long, by pulling on a cable (see Figure ). Derive the tension…

A:

Q: There is a planet X that has a mass that is 24 times that of the earth and 4 times the earth's…

A:

Q: In the figure, a long straight wire carries a current i₁ = 28.5 A and a rectangular loop carries…

A: The current in the wire is The current in the rectangular loop is The distance a is The distance b…

Q: An object is released from rest by someone standing on a bridge. The object falls without hitting…

A: Time taken, t = 2.1 sInitial velocity, u = 0Acceleration due to gravity, g = 10 m/s²Final velocity,…

Q: In the 7 diagrams below, the solid arrow represents the object and the dashed arrow the image. The…

A: To match each diagram with the appropriate optical element for each of the given diagram.solid arrow…

Q: A vehicle travels at a speed of 30 m/s and uses a carrier frequency of 1 GHz. What is the maximum…

A: speed of the vehicle, carrier frequency, Doppler Effect: The change in the observed frequency of a…

Q: What is the power output for a 60.0-kg woman who runs up a 2.48 m high flight of stairs in 3.84 s,…

A: The mass of the woman is 60 kg.The height achieved by the woman is 2.48 m.The time interval is 3.84…

Q: Suppose you had water flowing through a horizontal pipe that with a radius of 30 cm and a speed of 4…

A: Apply the continuity equation between both portions and substitute the corresponding values to…

Q: An object of mass 7.21 kg is released from rest and drops 2.05 m to the floor .The collision is…

A: Mass of object  m = 7.21 kg        Height  H = 2.05 m

Q: the speed of light in a material is 0.41 c. what is the critical angle of a light ray ay the…

A:

Q: A car's outside rear-view mirror is convex, with a focal length of -1,0 m. In the mirror you see a…

A: Focal length of convex mirror is Object height is Object distance is Find:The image distance and…

Q: In the figure, four long straight wires are perpendicular to the page, and their cross sections form…

A: The force acting between two parallel current carrying wire is attractive when the direction of…

Q: A curtain hangs straight down in front of an open window. A sudden gust of wind blows past the…

A: So we have given a conditionwhen a curtain hangs straight down in front of an open window and a…

Q: A parallel plate capacitor is filled with a dielectric that has a dielectric constant of 1.50. The…

A:

Q: The figure shows a long, straight wire carrying current I₁ = 19.3 A and a circular loop carrying…

A: Write the expression for the magnetic field at point P due to the straight wire which carries the…

Q: A 150 g block hangs from a spring with spring constant 6.0 N/m. At t=0s the block is 25 cm below the…

A:

Q: A space station shaped like a giant wheel has a radius of 102 m and a moment of inertia of 5.05 ×…

A: Write the expression for the initial total moment of inertia due to the wheel and persons and…

Q: Kyle lays a mirror flat on the floor and aims a laser at the mirror. the laser beam reflects off the…

A:

Q: A light propagates in Material 1 with index of refraction n1 = 1.13, strikes an interface, then…

A: Given data: Light ray goes from medium 1 to 2n1 = 1.13 , n2 = 1.41 and angle of incidence (θ1) =…

Q: 2.) A spinning, flat disk of radius 2.0 m has a tangential velocity at its edge of 4.5 m/s. a.…

A: The objective of the question is to find various parameters related to the motion of a spinning…

Q: A long, straight wire lies on the y axis and carries an upward current I. A second parallel wire…

A:

Q: A coin is 12 cm in front of a converging lens with focal length of magnitude 4.0 cm. Where is the…

A: Object distance from lens, u = -12 cm (Negative sign is due to sign convention)focal length of lens,…

Q: A bullet of mass 11.8g is firedinto an intially stationary block and comes to rest in the block .The…

A: The mass of the bullet is 11.8 g.The mass of the block is 1.25 kg.The final speed of the block and…

Q: Three nonparallel, nonzero forces act on the rigid body shown. What must be true for this body to be…

A: For the given force system, we need to determine the choice for the object to stay in equilibrium.

Q: star, A planet orbits a star, in a year of length 2.64 x 107 s, in a nearly circular orbit of radius…

A:

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.