A particle moves in a circle of radius 5 cm with constant speed and time period 0.2π s. The acceleration of the particle is

Question

A particle moves in a circle of radius 5 cm with constant speed and time period 0.2π s. The acceleration of the particle is (A)  25 m/s2  (B)  36 m/s2  (C)  5 m/s2  (D)  15 m/s2

Tardigrade Admin · Accepted Answer

r=5 cm=5× 10-2m and T=0.2 π s We know that acceleration a=rω 2 =(4π 2/T2)r =(4× π 2× 5× 10-2/(0.2π )2)=5 ms-2

Q. A particle moves in a circle of radius 5 cm with constant speed and time period $0.2 π s .$ The acceleration of the particle is

$25 m / s^{2}$

$36 m / s^{2}$

$5 m / s^{2}$

$15 m / s^{2}$

$r = 5 c m = 5 \times 10^{- 2} m$ and $T = 0.2 π s$ We know that acceleration $a = r ω^{2}$ $= \frac{4 π ^{2}}{T ^{2}} r$ $= \frac{4 \times π ^{2} \times 5 \times 10 ^{- 2}}{( 0.2 π ) ^{2}} = 5 m s^{- 2}$

Q. A particle moves in a circle of radius 5 cm with constant speed and time period 0.2πs. The acceleration of the particle is

25m/s2

36m/s2

5m/s2

15m/s2