First slide

Angular momentum

Question

The radius of a rotating sphere decreases by 2% keeping the mass constant, the change in its rotational kinetic energy?

Easy

A

2%
B

1%
C

4%
D

8%

Solution

${KE}_{r} \propto r^{- 2}$
[by keeping angular momentum constant]
$\frac{ΔE}{E} \times 100 % = - \frac{2 Δr}{r} \times 100 %$
Rotational KE ↑ ses by 4%.

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