First slide

Vertical circular motion

Question

A 1kg ball is rotated in a vertical circle by using a string of length 0.1 m. If the tension in the string at the lowest point is 29.4N, its angular velocity at that position is

Easy

A

7 rads^–1
B

14 rads^–1
C

3.5 rads^–1
D

25.6 rads^–1

Solution

$\large T = mg + mr{\omega ^2} \Rightarrow 29.4 = (1)9.8 + (1)0.1{\omega ^2}$
$\large \omega = 14rad/s$

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