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- A wind turbine is rotating conterclockwise at 0.5 rev/s and slows to a stop in 10 s. Its blades are 20 m in length. (a) What is the angular acceleration of the turbine? (b) What is the centripetal acceleration of the tip fo the blades at t=0s ? (c) What is the magnitude and direction of the total linear acceleration of the tip of the blades at t=0s ?Olympic ice skaters are able to spin at about 5 rev/s. (a) What is their angular velocity in radians per second? (b) What is the centripetal acceleration of the skater's nose if it is 0.120 m from the axis of rotation? (c) An exceptional skater named Dick Button was able to spin much faster in the 1950s than anyone since—at about 9 rev/s. What was the centripetal acceleration of the tip of his nose, assuming it is at 0.120 m radius? (d) Comment on the magnitudes of the accelerations found. It is reputed that Button ruptured small blood vessels during his spins.Disk B is at rest when it is brought into contact with disk A which is rotating freely at 450 rpm clockwise. After 6 s of slippage, during which each disk has a constant angular acceleration, disk A reaches a final angular velocity of 140 rpm clockwise. Determine the angu- lar acceleration of each disk during the period of slippage. A 3 in. B 5 in.
- when the user presses "Play", it 1. A disc in a DVD player starts from rest, and begins spinning ..The disc is spin s at 160 radians/s after 4.0 s. What was the average angular acceleration of the disc?F12–33. The car has a speed of 55 ft/s. Determine the angular velocity ô0 of the radial line OA at this instant. A r = 400 ft Prob. F12–33A rotating disk is initially spinning at w 7.4 rev/s, slows down and stops in 11.6 s. What is the magnitude of the disk's average angular acceleration? (in rev/s^2) 1.28 .a O 42.92 .b O 0.64.c O 0.64-.d O
- 6. A Ferris wheel with radius 14 m is turning about a horizontal axis through its center. The linear speed of a passenger on the rim is constant and equal to 7 m/s. What are the magnitude and direction of the passenger's acceleration as she passes through (a) the lowest point in her circular motion? (b) the highest point in her circular motion? (c) how much time does it take the Ferris wheel to make one revolution?A bicycle wheel is rotating at 46 rpmrpm when the cyclist begins to pedal harder, giving the wheel a constant angular acceleration of 0.50 rad/s2rad/s2. What is the wheel's angular velocity, in rpm, 6.0 ss later? Express your answer in revolutions per minute to two significant figures. How many revolutions does the wheel make during this time? Express your answer to two significant figures.A particle undergoes uniform motion. the speed of the particle is 10.0m/s. and the radius of its circular path 3.20m a. determine the time it takes the particle to go around its circular path once. b. determine the angular speed of the particle c. determine the centripetal acceleration of the particular
- The angular acceleration ?, rad/s2 of arotating disk is related to its angular velocity?, rad/s by ? = 4 √?. When t = 0, the disk isat rest and the angular position coordinateof a line in the disk is θ = 8rad. Find theexpression for θ(?).# 16. The frequency of a merry go round is 5 times per minute. What is the tangential velocity of the merry go round if it has a radius of 20.0 meters? a. 3.00 m/s b. .050 m/s c. 10.5 m/s d. 6.28 m/s #17. The frequency of a merry go round is 5 times per minute, and it has a radius of 20.0 meters. What is the angular velocity of the merry go round in degrees per second? a. 18.0 degrees/s b. .050 degrees/s c. 30.0 degrees/s d. 60.0 degrees/sStarting from rest , a wheel with constant angular acceleration spins up to 40 rpm in a time 't'. What is the angular velocity be after ' 3t '? OA. 60 rpm OB. 120 гpm OC. 180 rpm OD. 90 rpm OE. Impossible to determine .