: Marianne puts her favorite Backstreet Boys disc in her CD player. If it spins with a frequency of 1800 revolutions per minute, what is the period of spin of the compact disc

According to the question,

then,

→

hence,

The time period of spin will be:

=

=

Thus the approach above is right.

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The period of spin of the compact disc is approximately 0.033 seconds.

Explanation:

From Rotation Kinematics we must remember that a period of spin is the time needed by the compact disk to make one revolution. Period can be found by using the following equation:

(Eq. 1)

Where:

- Period, measured in seconds.

- Angular velocity, measured in radians per second.

At first we need to convert angular velocity into radians per second:

If we know that , then the period of spin of the compact disc is:

The period of spin of the compact disc is approximately 0.033 seconds.

we're given that v₀ = 0 and a = 5.4 m/s². therefore, since v = at + v₀ for constant acceleration the equation for velocity is

after 28s,

m/s

which i would round to 150 m/s as my final answer