The angular position of a rotating object is given by the equation e = a + bt + ct? where a, b, and c are constants. Here a = 1.46 rad, b = 2.04 rad/s, and c = 3.00 rad/s?. (a) What is the position of the object at t, = 0 and t, = 4.00 s? e, = e, = rad rad (b) What is the angular speed of the object at t, = 0 and t, = 4.00 s? w, = rad/s w2 rad/s (c) What is the angular acceleration of the object at t, = 0 and t, = 4.00 s? a, = rad/s? rad/s? a, =

Suppose you exert a force of 172 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N · m) is exerted? (Enter the magnitude.) N. m (b) What is the angular acceleration (in rad/s2) assuming negligible opposing friction? (Enter the magnitude.) |rad/s? (c) What is the angular acceleration (in rad/s?) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) |rad/s?

A cylinder is 0.4 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis on which it is mounted, is 1.2 kg. m². A string is wound around the cylinder and pulled with a force of 4 N. The angular acceleration of the cylinder is: Answer:

Angular speed (ω) is related to speed (v) as:  v = r × ω, where r is radius.   Determine the dimension of angular speed ω in terms of [L], [M], [T].

The blades on an electric blender are moving with an angular velocity of 296.8 radians/s. When the blend button is pressed, the blades accelerate at a constant value of 302.7 rdians/s^2. Find the angular velocity of the blades after they have moved through an angular displacement of 75.9 rad (radians) with this angular acceleration. Note the unit of radians is abbreviated as rad.

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.

An object is spinning with an initial angular velocity of 15.2 rad/s. Over a time of 1.44 s, the object increases its angular velocity to 44.6 rad/s. How many revolutions did the object rotate through in this time?

The angular speed of a rotating platform changes from ω0 = 2.6 rad/s to ω = 8.8 rad/s at a constant rate as the platform moves through an angle Δθ = 4.5 radians. The platform has a radius of R = 44 cm. Calculate the angular acceleration of the platform α in rad/s2.

A disk with a radius of 4.01 meters is rotating with an angular speed of 8.01 rad/s. The angular speed increases to 12.01 rad/s over the next 4.01 seconds. Determine how many revolutions the disk rotates through in 4.01 seconds?