What angle in radians is subtended by an arc 1.57 m long on the circumference of a circle of radius 2.45 m? What is this angle in degrees?

Q: A wheel with radius 0.465 m0.465 m rotates 5.035.03 times every second. Find the period ?T of this…

A: Given data:  Radius of wheel (r) = 0.465 m Number of rotations per second = 5.03 Required: The…

Q: (a) Express the following angles in radians. 25° = rad 55° = rad 75° = rad 190° = rad (b) The…

A: 1. Angles into radians 1 degree=π180radians 25°=25×π180=0.436 rad55°=55×π180=0.959…

Q: A wheel has a radius of 8 m. How far (path length) does a point on the circumference travel if the…

A: Given data:  Radius (r) = 8 m Angle rotated (θ) = 50 rev

Q: A ferris wheel with radius 12 m makes a revolution every 3 minutes. Find the linear (tangental)…

A: Linear speed is defined as rate of change of distance. v=dt     ......1 where d is distance  t is…

Q: You install new tires on your car that are rated to last for 55,000 miles. How many revolutions will…

A:

Q: = 1.57m x 3.8 rev = 6m Figure 1 Monark bike mechanical ratio for flywheel (r=0.25m) and pedal…

A:

Q: In an amusement park ride, a person with mass 70 kg stands against the wall of a cylindrical room…

A:

Q: An automobile with 0.220 m radius tires travels 60,000 km before wearing them out . How many…

A: Radius (R) of tires = 0.22 m distance moved (d) = 60,000 km

Q: A boy rides his bicycle 1.92 km. The wheels have radius 31.5 cm. What is the total angle (in rad)…

A: Answer              6095.238 rad

Q: A small object with mass 4.45 kg moves counterclockwise with constant speed 1.60 rad/s in a circle…

A:

Q: 50 radians are equal to how many degrees?

A: In the given problem we have to convert 50 rad into degree. Relation between radian and degree is π…

Q: An object moves uniformly around a circular path of radius 20.0 cm, making one complete revolution…

A:

Q: What are the units/dimensions of radians?

A: The radian is usually referred to as the angle (θ). An angle θ is measured in radians. Consider a…

Q: (2)Convert from radians to degrees - rad 12n rad 5 12n rad 3 rad 2π rad

A: To find: radian to degree conversion

Q: It takes 2π radians (rad) to get around a circle, which is the same as 360°. How many radians are in…

A: It is given that ,  Therefore,

Q: A car is moving at a rate of 70 miles per hour, and the diameter of its wheels is 2.5 feet. (a)…

A:

Q: A rotating disk travels takes 0.70 s to complete its first revolution along a circular path. As the…

A: When an object rotates with a constant angular acceleration then similar to third equation of motion…

Q: The earth, with a radius of 6.4 x 106 m, rotates on its axis once a day. What is the speed of a…

A:

Q: • The following angles are given in degrees. Convert them to radians: 30°, , 180°

A:

Q: An object is moving around a circle of radius 8 such that it rotates by θ in 2 minutes.  i.)…

A: The linear displacement is calculated by using the formula d=rθ , where r=8 m is the radius of the…

Q: A space station consists of two donut-shaped living chambers, A and B, that have the radii shown in…

A:

Q: An automobile with 0.230 m radius tires travels 90,000 km before wearing them out. How many…

A:

Q: A rod of length 1.21 m and mass 4.3 kg can freely rotate around uppermost point (see Fig). A bullet…

A: According to question--- Given data-- length of road L = 1.21 m. mass of road = 4.3 kg. mass of…

Q: What angle in radians is subtended by an arc that has length 2.50 m and is part of a circle of…

A: Given data:  Arc length (s) = 2.50 m Radius (r) = 1.5 m

Q: How many radians represent one and a half revolutions?

A: Given data:  Angular displacement (θ) = 1.5 rev Required: Angular displacement in radians

Q: (a) Express the following angles in radians. 5° = rad 35° = rad 70° = rad 190° = rad (b) The…

A: (a) We know, 1o=0.017 rad 50=0.087 rad 350=0.610 rad 700=1.220 rad 1900=3.316 rad (b) We know, 1…

Q: Microwave ovens rotate at a rate of about 6 rpm.  What is this in radians per second? Group of…

A: The revolution per minute is 6rpm.

Q: Earth revolves on its axis once every 24 hr. Assuming that Earth’s radius is 6400 km, find the…

A: Given: The revolution of Earth is 24 hr. The Earth's radius is 6400 km.

Q: What angle in radians is subtended by an arc 6ft in length, on the circumference of the circle whose…

A: To determine: The angle subtended by the arc   Given: Radius of circle, r=4 ft Length of arc, l=6 ft

Q: A bicycle wheel with radius 0.3 m rotates from rest to 3 rev/s in 5 s. What is the magnitude and…

A: Net/total acceleration is the vector sum of radial and tangential acceleration. θ is the angle of…

Q: The following angles are given in degrees. Convert them to radian: 30°, 45°, 60°, 90°, 180°.

A: The relation between angle in degrees and radian is; 180°=π rad1°=π180 rad

Q: In the problems that follow, point P moves with angular velocity v on a circle of radius r.In each…

A: ω=Angular velocity=15 rad/sr=Radius of circle=5 ftt=Time=0.5 min=0.5×60=30 s

Q: The Wheel of Fortune is divided into twelve angular sections, each of which is 30 degrees. Determine…

A: Given data: The deceleration of wheel is α=-1.19 rev/s2. The initial angular velocity is ωi=3.06…

Q: (1)Convert from degrees to radians 200 10 120 56° 600

A: To find: degree to radian conversion

Q: A boy rides his bicycle 2.00 km. The wheels have radius 30.0 cm. What is the total angle the tires…

A:

Q: You are given the rate of rotation of a wheel as well as its radius. Determine the following.…

A: (a) Angular speed = 17 revolutions /s  1 rev = 2 π radians  Therefore, angular speed = ( 17 * 2 π )…

Q: A wheel has a radius of 8 m. How far (path length) does a point on the circumference travel if the…

A:

Q: Find the value of angular velocity of axial rotation of the earth, such that weight of a person at…

A: Given data: The radius of Earth at equator is R=6400 km. The weight of person at equator is 3/4 of…

Q: Express the following angles in radians: (a) 20.0°, (b) 50.0°, (c) 100°. Convert the following…

A: Given: (a) 20.0°, (b) 50.0°,(c) 100°. Convert the following angles to degrees: (d) 0.330 rad,(e)…

Q: The angular speed of minute hand in a clock is a. 0.05233 rad/s  b. 0.10466 rad/s c. 0.00087…

A: Angular velocity of the body is the rate of change of angular displacement. ω = dθ/dt Where, ω =…

Q: What is the angle (in radians) between the vectors (1.3, -2.2, 7.1) and (1.9, 5.2, -10.0)?

A:

Q: (a) Convert 46.0° to radians, using the appropriate conversion ratio. 0.80 rad (b) Convert 2.00 rad…

A: Length of arc is given as l= r© ,where © is the angle subtended by arc in radians

Q: A Tire has a radius of 0.34 m. If it is driven of 2.7 km, What is the total angle that it has…

A:

Q: • The following angles are given in degrees. Convert them to radians: 30°, 45°

A: The degree to radian- Both degree and radian represent the measure of an angle. One complete…

Q: Through how many revolutions must the 60-cm diameter wheel of a car turn as the car travels 2.5 km?

A:

Q: An object with mass 125 g is in a circular motion. If the mangitude of the centripetal force is 18N…

A: When the object is undergoing the circular motion, it is experiencing a centripetal force(force…

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.