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Motion in a Plane

Circular motion

A particle moves in a circle of radius 0.5 {~m} at a speed tha

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Solving time: 2 mins

A particle moves in a circle of radius $0.5 m$ at a speed that uniformly increases. Find the angular acceleration of particle if its speed changes from $2.0 m / s$ to $4.0 m / s$ in $4.0 s$ .

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Book:

Mechanics Volume 1 (DC Pandey)

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A particle moves in a circle of radius

0.5 m

at a speed that uniformly increases. Find the angular acceleration of particle if its speed changes from

2.0 m / s

4.0 m / s

4.0 s

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

The tangential acceleration of the particle is

a_{t} = \frac{d v}{d t} = \frac{4.0 - 2.0}{4.0} = 0.5 m / s^{2}

The angular acceleration is

α = \frac{a _{t}}{r} = \frac{0.5}{0.5} = 1 rad / s^{2}

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Question Text	A particle moves in a circle of radius $0.5 m$ at a speed that uniformly increases. Find the angular acceleration of particle if its speed changes from $2.0 m / s$ to $4.0 m / s$ in $4.0 s$ .
Topic	Motion in a Plane
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	126

A particle moves in a circle of radius $0.5 m$ at a speed that uniformly increases. Find the angular acceleration of particle if its speed changes from $2.0 m / s$ to $4.0 m / s$ in $4.0 s$ .

Text solutionVerified

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A particle moves in a circle of radius 0.5 m at a speed that uniformly increases. Find the angular acceleration of particle if its speed changes from 2.0 m/s to 4.0 m/s in 4.0 s.

Text solutionVerified

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A particle moves in a circle of radius $0.5 m$ at a speed that uniformly increases. Find the angular acceleration of particle if its speed changes from $2.0 m / s$ to $4.0 m / s$ in $4.0 s$ .