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A particle moves on circular path of rad...

A particle moves on circular path of radius 5 m with constant speed 5 m/s. Find the magnitude of its average acceleration when it completes half revolution.

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To find the magnitude of the average acceleration of a particle moving in a circular path of radius 5 m with a constant speed of 5 m/s after completing half a revolution, we can follow these steps: ### Step 1: Understand the motion The particle is moving in a circular path with a radius of 5 m and a constant speed of 5 m/s. After completing half a revolution, the particle will be at the opposite side of the circular path. ### Step 2: Determine the initial and final velocity vectors - **Initial Velocity (V1)**: At the starting point, we can assume the particle is moving in the positive x-direction. Thus, \( V_1 = 5 \hat{i} \) m/s. - **Final Velocity (V2)**: After half a revolution, the particle will be moving in the negative x-direction. Thus, \( V_2 = -5 \hat{i} \) m/s. ...
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Knowledge Check

  • A particle is moving along a circular along a circular path of radius 5 m with a uniform speed 5ms^(-1) . What will be the average acceleration when the particle completes half revolution?

    A
    Zero
    B
    `10ms^(-2)`
    C
    `10pims^(-2)`
    D
    `(10)/(pi)ms^(-2)`
  • A particle is moving along circular path of radius 40 m with a uniform speed of 20m//s . Then the time taken for the particle to complete half revolution will be

    A
    `4 pi s `
    B
    `pi s`
    C
    `2 pi s`
    D
    `pi //2 s`
  • A partical is moving along a circular path of radius 5m and with uniform speed 5 m//s . What will be the avarage acceleration when the partical completes half revoluation?

    A
    zero
    B
    `10m//s^(2)`
    C
    `10pm//s^(2)`
    D
    `(10//pi)m//s^(2)`
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