Determining Velocity and Acceleration for a Moving Particle

AI Thread Summary
A particle moves along a circle with a constant angular velocity of 0.4 rad/s and a radius of 0.5 m. The velocity is calculated using the formula v = rω, indicating that the speed remains constant since both r and ω are constant. However, the direction of the velocity vector changes continuously as the particle moves along the circular path. The total acceleration consists of both tangential and centripetal components, with the centripetal acceleration being a key factor due to the constant change in direction. Understanding that the modulus of the radius vector does not change despite the changing direction of velocity is crucial for solving the problem.
ritwik06
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Homework Statement


A particle A moves along a circle of radius R= 0.5 m. so that its radius vector \vec{r} relative to point O on th circumference rotates with a constant angular velocity \omega=0.4 rad/s. Find the modulus of velocity and total acceleration.

The Attempt at a Solution


The thing which confuses me is that the modulus of radius vector(relative to point on circumference) keeps changing with time. but \omega=constant
v=r\omega

This means that v changes with time. Am I right?
 
Last edited:
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Think about the definition of modulus.
Does it matter if the direction of the vector is changing?

Yes, v changes with time, but is the modulus changing?

HINT:
modulus can be synonymous with magnitude.
 

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