Question

A body weighing 0.5 kg tied to a string is projected with a velocity of 10m/s the body starts whirling in a vertical circle if the radius of the circle is 0.8m find the tension in the string when the top of the circle​

Answer 1

Given that,

• Mass of the body = 0.5 kg
• Velocity of the body = 10 m/s
• Radius of the circular path = 0.8 m
• Tension on the string = ?

The tension on the string is equal to the centripetal force towards the centre

we know that,

$centripetal \: force \: = \frac{m {v}^{2} }{r} \\ \frac{0.5 \times {(10)}^{2} }{0.8} \\ \frac{0.5 \times 100}{0.8} \\ 62.5$

Therefore, the tension on the string is 62.5 N.

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