The angular velocity of an object is given by the following equation: ω(t)=(5rads3)t2\omega\left(t\right) =\left(5\frac{rad}{s^3}\right)t^2ω( t)=(5s3rad​)t2 What is the angular displacement of the object (in rad) between t = 2 s and t = 4 s?

The angular displacement of the object between and is 20 radians.

Explanation:

The angular velocity of the object (), in radians per second, is given by the following expression:

(1)

Where is the time, measured in seconds.

The change in the angular displacement (), in radians, is found by means of the following definite integral:

(2)

Then we proceed to integrate on the function in time:

The angular displacement of the object between and is 20 radians.

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note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.