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A mass moving around a circle with a constant linear velocity has a frequency of 7 Hz. If the linear velocity is tripled, what is the new frequency?

User Raj Parmar
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1 Answer

11 votes
11 votes

Answer:

21 Hz

Step-by-step explanation:

The linear velocity is equal to

v = wr

Where w is the angular velocity and r is the radius.

Additionally, the angular velocity is equal to

w = 2πf

Where f is the frequency

So, replacing this equation on the equation above, we get:

v = (2πf)r

v = 2πrf

Therefore, the velocity and the frequency are proportional, so if the linear velocity is tripled, the frequency is tripled, so the new frequency will be

7 Hz x 3 = 21 Hz

So, the answer is 21 Hz

User Andrew Theken
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3.0k points