First slide

The two types of acceleration

Question

A particle is moving along a circular path of radius 6 m with a uniform speed of 8 m/s. The average acceleration when the particle complete one half of the revolution is

Moderate

A

$\frac{16}{3 π} m / s^{2}$
B

$\frac{32}{3 π} m / s^{2}$
C

$\frac{64}{3 π} m / s^{2}$
D

$\frac{42}{π} m / s^{2}$

Solution

$t = \frac{π \times 6}{8} \sec = \frac{3 π}{4} \sec .$ After half revolution velocity is reversed.
$∴ a_{a v g .} = \frac{|Δ \vec{v}|}{t} = \frac{8 - (- 8)}{3 π / 4} = \frac{64}{3 π} m / s^{2}$

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