A bicyclist starting at rest produces a constant angular acceleration of 1.30 rad per second squared for wheels that are 36.0 cm in radius.A what is the bicycle linear acceleration in meters per second squared? (Enter the magnitude) B what is the angular speed of the wheels in rad/s when the bicyclist reaches 12.0 m/s? C how many radians have the wheels turned through in that time? D how far in meters has the bicycle travel?

The tires of a car make 65 revolutions as the car reduces its speed uniformly from 95km/hr to 45 km/hr. The tires have a diameter of 0.80 m.a. What is the angular acceleration of the tires?b. If the car continues to decelerate at this rate, how much more time is required forit to stop?

A monkey has a 50 cm long tail swinging through circular arcs.  a. The moneky prepares to swing through a semicircular arc by grabbing a branch 50 cm in front.What is the angular acceleration as she begin to drop? b. What is the monkeys linear speed at the bottom of this arc, 50 sm below starting point? What is her angular speed? c. The monkey has a mass of 10 kg. What is the tension in her tail at the bottom of the arc?

An amusement park ride rotates around a fixed axis such that the angular position of a point on the ride follows the equation: θ(t) = a + bt2 – ct3 where a = 2.1 rad, b = 0.75 rad/s2 and c = 0.035 rad/s3. a. Determine an equation for the angular speed of the ride as a function of time, omega(t). Write your answet using the symbols a, b, and c, instead of their numerical values. b. Besides at t = 0, at what time t1 is the ride stopped? Give your answer in seconds. c. What is the magnitude of the angular displacement of the ride in radians between times t = 0 and t = t1? d. Determine an equation for the angular acceleration of the ride as a function of time, alpha(t). Write your answer using the symbols a, b, and c, instead of their numerical values.  e. What is the angular acceleration in rad/s^2 when the ride is at rest t = t1?

Nilo.p A baseball bat is swung with an angular velocity of 500°/s and has a radius of 1.2m. What is the linear velocity of the baseball bat?

After fixing a flat tire on a bicycle you give the wheel a spin. Its initial angular speed was 5.40 rad/srad/s and it rotated 15.9 revolutions before coming to rest. You may want to review (Pages 305 - 307) . Part A What was its average angular acceleration?         Express your answer using three significant figures.   Part B For what length of time did the wheel rotate?         Express your answer using three significant figures.

As you finish listening to your favorite compact disc (CD), the CD in the player slows down to a stop. Assume that the CD spins down with a constant angular acceleration. If the CD rotates clockwise at 500 rpm (revolutions per minute) while the last song is playing, and then spins down to zero angular speed in 2.60 s with constant angular acceleration, what is α, the magnitude of the angular acceleration of the CD, as it spins to a stop? A grinding wheel 0.21 m in diameter rotates at 2600 rpm . Calculate its angular velocity in rad/s. What is the linear speed of a point on the edge of the grinding wheel? What is the acceleration of a point on the edge of the grinding wheel? A small rubber wheel is used to drive a large pottery wheel. The two wheels are mounted so that their circular edges touch. The small wheel has a radius of 1.7 cm and accelerates at the rate of 6.9 rad/s2 , and it is in contact with the pottery wheel (radius 28.0 cm ) without slipping. Calculate the…

An ultracentrifuge accelerates from rest to 108600rpm in 2.1min.   A. What is its angular acceleration in units of radians per second squared?   B. What is the tangential acceleration, in meters per second squared, of a point 9.5cm from the axis of rotation?   C. What is the centripetal acceleration, in multiples of g, of this point at full speed?

At its lowest setting a centrifuge rotates with an angular speed of ω1 = 350 rad/s. When it is switched to the next higher setting it takes t = 12.5 s to uniformly accelerate to its final angular speed ω2 = 750 rad/s.  a. Calculate the angular acceleration of the centrifuge a1 in rad/s2 over the time interval t b. Calculate the total angular displacement (in radians) of the centrifuge, Δθ, as it accelerates from the intial to the final speed.

A small fan has blades that have a radius of 0.0600 m. When the fan is turned on, the tips of the blades have a tangential acceleration of 11.4 m/s² as the fan comes up to speed. What is the angular acceleration a of the blades?