The disk of a rotating cutter rotates about its central axis at 33.5 rev/min and takes 60 seconds to come to rest when switched off. Calculate, (a) Its angular acceleration a. (b) The number of revolutions it makes before coming to rest.
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- A flywheel (a disk) is rotating on its axis of rotation. It decreases from 3.0 rad/s to 0.80 rad/s in 1.5 seconds. (a) What is the angular acceleration during this time period? (b) Through what angle has the flywheel turned in 1.5 seconds? (c) When will the flywheel stop rotating? IA disk spins counter-clockwise at 25.6 rad/s. Due to friction, it slows down at a constant rate. After having made 12 turns on itself, it only turns at 5.1 rad/s. find;c) angular acceleration (pay attention to sign conventions!):d) The number of additional revolutions the disc will make before stopping:B. A compact disk rotates from rest to 420 rev/min in 4.5 seconds. (a) How far does a point on the edge of the disk, radius 8.0 cm, travel during this interval? (b) If the disk has mass of 18.2 grams, what is its kinetic energy when rotating at 400 rev/min? (I = MR2) (c) What average power is needed to accelerate the disk to 420rev/min in 4.5 seconds?
- A shaft is turning at 65 rad/s at time t=0. Thereafter, its angular acceleration is given by α = -10 rad/s2 - 5t rad/s3 , where t is the elapsed time. (a) Find its angular speed at t=3 s. (b) How far does it turn in these 3s?Question No 1 Given: ASF. A disc with radius r rolls down the hill without slipping (starting from rest). At the end of the ramp, the disc jumps up with the upward angle shown. Required: (1) distance SA wheel undergoes angular acceleration of 0.44rad / s ^ 2 for 5 seconds (starting from rest ). Through how much angle (in radians ) has the disk turned after the 5 second interval of time ?
- A bicycle tire is spinning clockwise at 2.20 rad/s. During a time period At = 2.50 s, the tire is stopped and spun in the opposite (counterclockwise) direction, also at 2.20 rad/s. Calculate the change in the tire's angular velocity Aw and the tire's average angular acceleration aay. (Indicate the direction with the signs of your answers.) HINT (a) the change in the tire's angular velocity Aw (in rad/s) rad/s (b) the tire's average angular acceleration a (in rad/s2) rad/s2The blades of a blender slow from 3.5 rad /s to 1.8 rad/s while rotating through 1.2 rad. (a) What is the angular acceleration (assumed to be constant) (b) How long does this slowing-down take? (c) Assuming that the angular acceleration stays constant, how much longer would it take for the blades to come to rest?The flywheel of a steam engine runs with a constant angular velocity of 132 rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 1.40 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is turning at 66.0 rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 42.7 cm from the axis of rotation? (d) What is the magnitude of the net linear acceleration of the particle in (c)?
- An shaft spins at 20rad/s and uniformly speeds up to 100rad/s over 5.0s. What was its (a)angular acceleration with proper units, and (b)angular displacement?A flywheel with a diameter of 0.611 m is rotating at an angular speed of 287 rev/min. (a) What is the angular speed of the flywheel in radians per second? |(b) What is the linear speed of a point on the rim of the flywheel? (c) What constant angular acceleration (in revolutions per minute-squared) will increase the wheel's angular speed to 556 rev/min in 149 s? (d) How many revolutions does the wheel make during that 149 s? (a) Number Units (b) Number Units (c) Number Units (d) Number UnitsA new sport utility vehicle has tires with a diameter of 27.3 inches. The tires have a tread-life warranty of 55,000 miles. (a) How many radians will the tires rotate through within the full warranty length? rad (b) How many revolutions is this equivalent to? rev Need Help? Read It