A particle is moving along a circular path of radius R in such a way that at any instant magnitude of radial acceleration and tangential acceleration are equal. If at t=0 velocity of particle is V 0. Find the speed of the particle after time t= R/2V 0.

Question

Vikas TU · Answer

Radial and tangencial acceleration at = dv/dt ar = v^2 /r at = ar dv/dt = v^2 /r c = 1/vo -1/v = t/R - 1/vo t = R (1/vo - 1/v)

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A particle is moving along a circular path of radius R in such a way that at any instant magnitude of radial acceleration and tangential acceleration are equal. If at t=0 velocity of particle is V 0. Find the speed of the particle after time t= R/2V 0.

A particle is moving along a circular path of radius R in such a way that at any instant magnitude of radial acceleration and tangential acceleration are equal. If at t=0 velocity of particle is V_0.Find the speed of the particle after time t= R/2V_0.

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A particle is moving along a circular path of radius R in such a way that at any instant magnitude of radial acceleration and tangential acceleration are equal. If at t=0 velocity of particle is V 0. Find the speed of the particle after time t= R/2V 0.

A particle is moving along a circular path of radius R in such a way that at any instant magnitude of radial acceleration and tangential acceleration are equal. If at t=0 velocity of particle is V0. Find the speed of the particle after time t= R/2V0.

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A particle is moving along a circular path of radius R in such a way that at any instant magnitude of radial acceleration and tangential acceleration are equal. If at t=0 velocity of particle is V_0.Find the speed of the particle after time t= R/2V_0.