Multiple concept problem: A bike wheel having a moment of inertia of 0.09 kg-m2 has an initial angular speed of 3 rev/s and gradually comes to rest due to a frictional force. The frictional force is caused by a torque of 1.0 N-m. Assuming the angular deceleration remains constant during the entire period, determine how much time it would require for the wheel to come to a stop.
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- A pulley accelerates from 75.00 rev/min to 150 rev/min in 3 minutes. Calculate the magnitude of the angular acceleration and determine the number of revolutions made by the pulley in this timeA solid disk of mass M = 0.600 kg and radius R = 0.350 m is suspended vertically and is free to rotate R: about its center without friction. A point object that has the same mass as the disk is placed at an angle 0; 35.0° clockwise from the top along the rim, causing the disk to = 9.80 m/s?. rotate. The acceleration due to gravity is g What is the angular speed wf of the disk when the object is directly below the center of the disk. Of = rad/s ------L.An optical disk drive in a computer can spin a disk at up to 10,000 rpm. If a particular disk is spun at 2250 rpm while it is being read, and then is allowed to come to rest over 0.301 s, what is the magnitude of the average angular acceleration of the disk? angular acceleration: 782.79 rad/s? If the disk is 12.0 cm in diameter, what is the magnitude of the tangential linear acceleration of a point 1/11 of the way out from the center of the disk? linear acceleration: m/s?
- The angle through which a rotating wheel has turned in time t is given by q = t3-12t2+36t+30, where q is in radians and t is seconds. What is the average angular velocity between t = 2.0 s and 6.0 s The instantaneous angular velocity w at t = 6.0 s The average angular acceleration α between t = 2.0 s and t = 6.0 s When is the instantaneous angular acceleration zero?During the spin cycle the time dependent angular speed of a washing machine drum is given by the equation co(t) = at + b² - cf where a = 2.2 rad/s², b = 0.75 rad/s³ and c = 0.035 rad/s³. At time t=0 s, a point P on the washer drum is located at 80 = 1.9 rad. Zaffiro, MacEe - macee.zaffiro@doane.edu Write an equation for the angular acceleration of the drum, as a function of time, in terms of the given parameters. a(t)= ß 00 7 P 8 9 HOME a b с ||^^||^|||4 5 6 d * h g 1 2 3 k + m 0 END CLEAR DEL t NO BACKSPACE Submit Hint Feedback I give up! What is the angular acceleration, in radians per square second, at time t = 3.1 s? Write an equation for the angular position of the point P, as a function of time, in terms of the given parameters. What is the angular position of the point P on the drum, in radians, at t= 3.1 s? j n PThe angular acceleration of a wheel is a = 8.0t4 - 6.0t?, with a in radians per second-squared and t in seconds. At time t = 0, the wheel has an angular velocity of + 4 rad/s and an angular position of + 6 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s). (a) Number i t5- i t3+ i Units (b) Number i t6- i t4+ i t+ Units
- An ultracentrifuge accelerates from rest to 100,000 rpm in 2.50 min.(a) What is its angular acceleration in rad/s2? rad/s2(b) What is the tangential acceleration of a point 8.50 cm from the axis of rotation? m/s2(c) What is the radial acceleration in m/s2 and gs of this point at full rpm?A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s period following the inital spin, the bike wheel undergoes 65.0 complete rotations. Assuming the frictional torque remains constant, how much more time Ats will it take the bike wheel to come to a complete stop?A turntable must spin at 33.3 rev/min (3.49 rad/s) to play an old-fashioned vinyl record. How much torque must the motor deliver if the turntable is to reach its final angular speed in 2.30 revolutions, starting from rest? The turntable is a uniform disk of diameter 30.5 cm and mass 0.250 kg. N-m