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An object is spun around in circular motion such that its period is 0.2 seconds.


a. What is the frequency of its rotation?


b. How many rotations will be completed in 7 seconds?

Sagot :

Corsaquixidn

Answer:

a. 5 Hertz

b. 35 rotations

Explanation:

a. Frequency is given by [tex]f=\frac{1}{T}[/tex] where [tex]T[/tex] is the period, in seconds. Given that [tex]T=0.2[/tex], the frequency of this object's rotation is:

[tex]f=\frac{1}{T}=\frac{1}{0.2}=\boxed{5\text{ Hz}}[/tex]

b. Since one rotation, or period, is completed in 0.2 seconds, divide the amount of time (7 seconds) by the time it takes to complete one revolution (0.2 seconds):

[tex]\frac{7}{0.2}=\boxed{35 \text{ rotations}}[/tex]

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