A particle is moving along a circular path of radius 5 m with uniform speed 5 m/s. What will be the average acceleration -when the particle completes half revolution?

Question

A particle is moving along a circular path of radius 5 m with uniform speed 5 m/s. What will be the average acceleration -when the particle completes half revolution? (A)  (10/π )m/s2  (B)  10 m/s2  (C)  10π m/s2  (D) zero

Tardigrade Admin · Accepted Answer

Change in velocity when the particle completes half revolution is

Δ v = 5 - (- 5) = 10 m / s

Time taken in completing half revolution is

T = \frac{π r}{v} = \frac{π \times 5}{5} = π

second
Hence, average acceleration when particle completes half revolution

a_{a v} = \frac{Δ v}{T} = \frac{10}{π} m / s^{2}

Q. A particle is moving along a circular path of radius $5 m$ with uniform speed $5 m / s$ . What will be the average acceleration -when the particle completes half revolution?

$\frac{10}{π} m / s^{2}$

$10 m / s^{2}$

$10 π m / s^{2}$

zero

Q. A particle is moving along a circular path of radius 5m with uniform speed 5m/s. What will be the average acceleration -when the particle completes half revolution?

π10​m/s2

10m/s2

10πm/s2

zero

Change in velocity when the particle completes half revolution is Δv=5−(−5)=10m/s Time taken in completing half revolution is T=vπr​=5π×5​=π second Hence, average acceleration when particle completes half revolution aav​=TΔv​=π10​m/s2

Q. A particle is moving along a circular path of radius $5 m$ with uniform speed $5 m / s$ . What will be the average acceleration -when the particle completes half revolution?

$\frac{10}{π} m / s^{2}$

$10 m / s^{2}$

$10 π m / s^{2}$