During the spin cycle of your clothes washer, the tub rotates at a steady angular velocity of 36.1 rad/s. Find the angular displacement A0 of the tub during a spin of 93.5 s, expressed both in radians and in revolutions.
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- An object starts from a rest and undergoes a circular motion for a period of 4.41s until it turns at the rate of 246/s. Calculate the angular acceleration of the object in rad/s.A phonograph record rotates at 33.33 rpm. Find its angular velocity in rad/s and the speed of a point 5 cm from the center.A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of 11.5 rad/s in 3.01 s. Find the magnitude of the angular acceleration of the wheel. Find the angle in radians through which it rotates in this time interval.
- A bicycle tire is spinning counterclockwise at 4.00 rad/s. During a time period Δt = 2.10 s, the tire is stopped and spun in the opposite (clockwise) direction, also at 4.00 rad/s. Calculate the change in the tire's angular velocity Δ? and the tire's average angular acceleration ?av. (Indicate the direction with the signs of your answers.) (a) the change in the tire's angular velocity Δ? (in rad/s) _______rad/s (b) the tire's average angular acceleration ?av (in rad/s2) _________rad/s2A cylinder 37 cm in diameter is at rest initially. It is then given an angular acceleration of 0.183 rad/s^2. Find the angular velocity at 7.86 s. Give your answer in rad.A machine part has the shape of a solid uniform sphere of mass 235 g and diameter 4.50 cm. It is spinning about a frictionless axle through its center, but at one point on its equator it is scraping against metal, resulting in a friction force of 0.0200 N at that point.
- A playground merry-go-round has a radius of 3.5 m and a rotational inertia of 720 kgˑm2. It is initially spinning at 0.60 rad/s when a 25 kg child crawls from the center to the rim. When the child reaches the rim the angular velocity of the merry-go-round in rad/s is:A cylinder 37.0 cm in diameter is at rest initially. It is then given an angular acceleration of 0.068 rad/s^2. Find the angular velocity at 5.26 s. Give your answer in rad.A dentist's drill starts from rest. After 3.10 s of constant angular acceleration it turns at a rate of 2.70 ✕ 104 rev/min. (a) Find the drill's angular acceleration. (b) Determine the angle (in radians) through which the drill rotates during this period.
- A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65 s. What was her average angular velocity in radians/second? A 720rad/s B 19.3rad/s C 4? rad/s D 9.67 rad/s E 1107 rad/sA wheel, initially at rest, starts and rotates trough an angle 100rad with a constant angular acceleration of 2rad/s. What is the angular speed of the wheel at the end of that 100 rad angular displacement? How long did it take the wheel to rotate trough first 50rad?the angular velcoity of an airplane propeller increases from 12 rad/s to 16 rad/s while turning through 7 rad. What is the angular acceleration in rad/s^2?