Question

an object of mass 1 kg is moving along a circular path.the centipetal acceleration of the object is 1.6 ms square.if radius of circle is 10m,the linear velocity and the centripetal force on the body respectively is

Answer 1

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✤ Required Answer:

✒ GiveN:

• Mass of the object = 1 kg
• Centripetal Accleration = 1.6 m/s²
• Radius of the circle = 10 m

✒ To FinD:

• Linear velocity of the body....?
• Centripetal force on the body?

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✤ How to solve?

A circular motion is always accelerated, and it is radially inward towards the centre of the centre. Hence, it is also known as Centripetal Accleration. It is given by:

$\large{ \boxed{ \sf{a_c = \dfrac{{v}^{2}}{r}}}}$

Where,

• $\sf{a_c}$ is the centrepetal Accleration,
• v is the linear speed/velocity
• And r is the radius of circle.

And, Centripetal force is given by:

$\large{ \boxed{ \sf{f = m \times a_c}}}$

☃️ So, we can solve by using these formula...

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✤ Solution:

We have,

• $\sf{a_c}$ = 1.6 m/s²
• r = 10 m

By using formula,

➝ $\sf{a_c}$ = v² / r

➝ 1.6 m/s² = v² / 10 m

➝ 16 m²/s² = v²

➝ v = √16 m²/s²

➝ v = 4 m/s

☔ Linear velocity of body(Magnitude) = 4 m/s

Now,

• $\sf{a_c}$ = 1.6 m/s²
• m = 1 kg

By using formula,

➝ F = m × $\sf{a_c}$

➝ F = 1 kg × 1.6 m/s²

➝ F = 1.6 N

☔ Centripetal force on the body = 1.6 N

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Answer 2

Answer:

refer this..............