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Tangential and centripetal acceleration of a particle speeding up on a circle

This type of question, asked 5 times: May 2021 S1, 2 May 2023 S1, 9 May 2024 S2, 15 Apr 2026 S2, 16 Apr 2026 S1. All 5 questions below, oldest first.

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  1. Question 1

    May 2021 S1

    25
    A particle of mass 5 kg moves in a circle of radius 20 cm. Its linear speed at a time tt is given by v=4tv = 4t, tt is in second and vv is in m/s. Find the net force acting on the particle at t=0.5 st = 0.5\ \text{s}.

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  2. Question 2

    2 May 2023 S1

    2
    A particle at rest starts moving with a constant angular acceleration of 4 rad/s24\,\text{rad/s}^2 in a circular path. The time at which magnitudes of its centripetal acceleration and tangential acceleration will be equal, is (in second)

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  3. Question 3

    9 May 2024 S2

    22
    A particle at rest starts moving with constant angular acceleration 44 rad/s2^2 in circular path. At what time the magnitudes of its tangential acceleration and centripetal acceleration will be equal?

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  4. Question 4

    15 Apr 2026 S2

    104
    A particle at rest starts moving with constant angular acceleration 'α\alpha' in a circular path of radius 'r'. At certain instant, the magnitude of centripetal acceleration is (13)rd\left(\dfrac{1}{3}\right)^{rd} the tangential acceleration. The relation between linear speed (V) and angular acceleration (α\alpha) is

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  5. Question 5

    16 Apr 2026 S1

    105
    A particle is moving with constant angular acceleration 4 rad/s24\ \mathrm{rad/s^2} in circular path. At what time the magnitudes of its tangential acceleration and centripetal acceleration will be equal ?

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