Question

A particle is describing uniform circular motion on a circle of radius 5 cm with speed of 10cm/s,it's centripetal acceleration will be
A)50cm s^-2
B)2cm s^-2
C)2.5cm s^-2
D)20cm s^-2​

Answer 1

Answer :-

Centripetal acceleration of the particle will be 20 cm/s² [Option.D]

Explanation :-

We have :-

→ Radius of the circle = 5 cm

→ Speed of the particle = 10 cm/s

________________________________

We know that, when a particle is undergoing uniform circular motion, then it's acceleration is given by :-

a꜀ = v²/r

Where :-

• a꜀ is the centripetal acceleration.

• v is speed of the particle.

• r is radius of the circle.

Substituting values, we get :-

⇒ a꜀ = v²/r

⇒ a꜀ = (10)²/5

⇒ a꜀ = 100/5

⇒ a꜀ = 20 cm/s²

Answer 2

Answer:

Given :-

• A particle is describing uniform circular motion on a circle of radius of 5 cm with speed of 10 cm/s.

To Find :-

• What is the centripetal acceleration.

Formula Used :-

$\clubsuit$ Centripetal Acceleration Formula :

$\longmapsto \sf\boxed{\bold{\pink{a_c =\: \dfrac{v^2}{r}}}}$

where,

• $\sf a_c$ = Centripetal Acceleration
• v = Velocity or Speed
• r = Radius

Solution :-

Given :

• Speed = 10 cm/s
• Radius = 5 cm

According to the question by using the formula we get,

$\dashrightarrow \sf a_c =\: \dfrac{(10)^2}{5}$

$\dashrightarrow \sf a_c =\: \dfrac{10 \times 10}{5}$

$\dashrightarrow \sf a_c =\: \dfrac{\cancel{100}}{\cancel{5}}$

$\dashrightarrow \sf a_c =\: \dfrac{20}{1}$

$\dashrightarrow \sf\bold{\red{a_c =\: 20\: cm/s^2}}$

$\therefore$ The centripetal acceleration is 20 cm/s².

Hence, the correct options is option no (D) 20 cm/s².

$\rule{150}{2}$

#Learn more :

A race car moving on a circular track of radius 20 meters. If car’s speed is 108 km/h, then the magnitude of the centripetal acceleration is

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