the angular velocity

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?

The angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant rate as the platform moves through an angle Δθ = 5.5 radians. The platform has a radius of R = 12 cm. Calculate the angular acceleration of the platform α in rad/s2.

At time t=0, the angular velocity of a wheel is 4.55 rad/s. The wheel is accelerating with constant angular acceleration -7.42 rad/s2. After 0.386 s, find the magnitude of the linear acceleration (in m/s2) of a point on the wheel a distance 0.500 m from the axis of rotation.

An electric fan is running on HIGH. After the speed setting is changed to LOW, the angular speed reduces to 800 rpm in 1.75 s. If the angular deceleration is a constant 42.0 rad/s², then find (a) the initial angular speed of the fan (when it was on HIGH) and (b) the number of revolutions that the fan turned through as it slowed from HIGH to LOW. (c) Include a diagram of the situation.

A ceiling fan is rotating counterclockwise with a constant angular acceleration of 0.50? rad/s2 about a fixed axis perpendicular to its plane and through its center. Assume the fan starts from rest. (a) What is the angular velocity of the fan after 2.0 s? (Enter the magnitude.) rad/s (b) What is the angular displacement of the fan after 2.0 s? (Enter the magnitude.) rad (c) How many revolutions has the fan gone through in 2.0 s? rev

A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.107 rad/s². After making 2870 revolutions, its angular speed is 130 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up? (a) Number i 129.848 Units rad/s (b) Number i 1.327 Units S

A wind turbine rotates at 15.8 rpm and has an angular acceleration of 0.0502 rad/s2. If the wind turbine takes 33.0 s to come to a complete stop, how many revolutions will this take?

A fan rotating with an initial angular velocity of 1000 rev/min is switched off. In 2 seconds, the angular velocity decreases to 200 rev/min. Assuming the angular acceleration is constant, how many revolutions does the blade undergo during this time?

A 42.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t = 2.32 s, find the angular speed of the wheel. rad/s (b) At t = 2.32 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity             m/s tangential acceleration             m/s2 (c) At t = 2.32 s, find the position of P (in degrees, with respect to the positive x-axis). _________° counterclockwise from the +x-axis