A rigid object under a constant angular acceleration has an initial angular velocity of 25.6 rad/s. If it comes to rest over a time of 8.26 s, how many revolutions has it rotated through
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A: θ=2π x16 = 32 π rad α=4.74 rad/s2 ω2-ωo2 = 2αθ ω = 30.86 sec-1
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A rigid object under a constant
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- A rotating wheel requires 4.66 s to rotate through 45.9 rev. It’s angular speed at the end of the 4.66s interval is 66.2 rad/s. What is its constant angular acceleration? Assume the angular acceleration has the same sign as the angular velocity. Answer in units of rad/s^2.A rigid object under a constant angular acceleration has an initial angular velocity of 21.7 rad/s. If it comes to rest over a time of 7.16s how many revolutions has it rotated through?A wheel has a constant angular acceleration of 1.4 rad/s2. During a certain 7.0 s interval, it turns through an angle of 76 rad. Assuming that the wheel started from rest, how long had it been in motion before the start of the 7.0 s interval?
- A wheel has a constant angular acceleration of 2.7 rad/s2. During a certain 2.0 s interval, it turns through an angle of 21 rad. Assuming that the wheel started from rest, how long had it been in motion before the start of the 2.0 s interval?At time t=0 a grinding wheel has an angular velocity of 25.0 rad/s. It has a constant angular acceleration of 32.0 rad/s2 until a circuit breaker trips at time t= 1.80 s. From then on, the wheel turns through an angle of 433 rad as it coasts to a stop at constant angular deceleration. What was the wheel's angular acceleration as it slowed down?A crankshaft rotating at 2.45 rad/s undergoes an angular acceleration of 0.590 rad/s^2. What is the angular velocity of the shaft after 8.37 s? Give your answer in rad/s.
- A fan blade is rotating with a constant angular acceleration of +12.9 rad/s2. At what point on the blade, as measured from the axis of rotation, does the magnitude of the tangential acceleration equal that of the acceleration due to gravity?Starting from rest, a wheel with a radius of 0.6 m begins to roll across the ground in a straight line under a constant angular acceleration of 4.43 rad/s2. What is the speed of the wheel in m/s after it has rotated through 17 full revolutions?Starting from rest, a wheel with a radius of 0.58 m begins to roll across the ground in a straight line under a constant angular acceleration of 4.74 rad/s2. What is the speed of the wheel in m/s after it has rotated through 16 full revolutions?
- A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.42 x 104 rad/s to an angular speed of 3.60 x 104 rad/s. In the process, the bit turns through 2.50 x 104 rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 9.41 x 104 rad/s, starting from rest?A wheel, starting from rest, has a constant angular acceleration of 1.5 rad/s2. In a 1.7-s interval, it turns through an angle of 58 rad. How long has the wheel been in motion at the start of this 1.7-s interval?A bar on a hinge starts from rest and rotates with an angular acceleration a = 10 + 6t, where a is in rad/s2 and t is in seconds. Determine the angle in radians through which the bar turns in the first 4.00 s.