A body is moving along a circular track of radius $100 \mathrm{~m}$ with velocity $20 \mathrm{~m} / \mathrm{s}$. Its tangential acceleration is $3 \mathrm{~m} / \mathrm{s}^{2}$, then its resultant acceleration will be

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Aicharya · Accepted Answer

Tangential acceleration $\mathrm{a}_{\mathrm{t}}=3 \mathrm{~m} / \mathrm{s}^{2}$ radial acceleration $\mathrm{a}_{\mathrm{r}}=\frac{\mathrm{V}^{2}}{\mathrm{r}}=\frac{(20)^{2}}{100}=4 \mathrm{~m} / \mathrm{s}^{2}$ Total acceleration $=\sqrt{a_{r}^{2}+a_{C}^{2}}=\sqrt{(4)^{2}+(3)^{2}}=5 \mathrm{~m} / \mathrm{s}^{2}$

A body is moving along a circular track of radius $100 \mathrm{~m}$ with velocity $20 \mathrm{~m} /…

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