Question

A 2.0 kg yo-yo swings in a vertical circle on the end of a 1.0 m string. At the bottom of its swing the yo-yo has a speed of 4.0 m/s. What is the force of tension in the string at this point?

Answer 1

The Force of tension in the string is 32 N.

To calculate the Force of tension on the string, we use the formula below.

Formula:

• T = (mv²/r)...................... Equation 1

Where:

• T = Tension in the string
• m = mass of the yo-yo
• v = speed of the yo-yo
• r = radius of the circle

From the question,

Given:

• m = 2 kg
• r = 1 m
• v = 4 m/s

Substitute these values into equation 1

• T = 2(4²)/1
• T = 32
• T = 32 N.

Hence, The Tension in the string is 32 N

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