Question

A mass is whirled in a circular path with an angular momentum L. If the length of string and angular velocity, both are doubled, the new angular momentum is

Moderate

Solution

$L = {mrω}^{2}; L \propto {rω}^{2}; \frac{L_{1}}{L_{2}} = \frac{r_{1}}{r_{2}} \times {(\frac{ω_{1}}{ω_{2}})}^{2}$

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