A particle moves in a circle of radius 10 cm with a constant speed and time period of 0-2 - s- The acceleration of the particle isA- 5 m - s 2B- 40 m - s 2C- 10 cm - s 2D- 10 m - s 2

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Centripetal Acceleration

A particle mo...

Question

A particle moves in a circle of radius $10 c m$ with a constant speed and time period of $0.2 π s$ . The acceleration of the particle is

5 m / s^{2}

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40 m / s^{2}

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10 c m / s^{2}

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10 m / s^{2}

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Solution

The correct option is D $10 m / s^{2}$
For uniform circular motion,
the acceleration of the particle $(a_{C}) = r w^{2}$
$w = \frac{2 π}{T} = \frac{2 π}{0.2 π} = 10 r a d / s$
$∴ a_{C} = 10 \times 10^{- 2} \times (10)^{2} = 10 m / s^{2}$

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A particle moves in a circle of radius 10 cm with a constant speed and time period of 0.2π s. The acceleration of the particle is

The correct option is D 10 m/s2For uniform circular motion, the acceleration of the particle (aC)=rw2 w=2πT=2π0.2π=10 rad/s ∴aC=10×10−2×(10)2=10 m/s2

A particle moves in a circle of radius $10 c m$ with a constant speed and time period of $0.2 π s$ . The acceleration of the particle is

The correct option is D $10 m / s^{2}$
For uniform circular motion,
the acceleration of the particle $(a_{C}) = r w^{2}$
$w = \frac{2 π}{T} = \frac{2 π}{0.2 π} = 10 r a d / s$
$∴ a_{C} = 10 \times 10^{- 2} \times (10)^{2} = 10 m / s^{2}$