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The force F acting on a body moving in a...

The force F acting on a body moving in a circular path depends on mass of the body (m) velocity(v) and radius (r) of the circular path. Obtain the expression for the force by dimensional analysis method `(k=1)`

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The force F acting on a body moving in a circular path depends on mass of the body (m), velocity (v) and radius (r) of the circular path. Obtain the expression for the force by dimensional analysis method. (Take the value of k=1)

Explain the principle of homogenity of dimensions and deriye an expression for the force F acting on a body moving in a circular path depending on the mass of the body (m), velocity (v) and radius (r) of the circular path. Obtain the expression for the force by the dimensional analysis method (take the value k = 1)

Knowledge Check

  • If a body moving in a circular path with uniform speed, then

    A
    the acceleration is directed towards its centre
    B
    velocity and acceleration are perpendicular to each other
    C
    speed of the body is constant but its velocity is varying
    D
    all the above
  • A body is moving in a circular path with acceleration a if its velocity gets doubled find the ratio acceleration after and before the change

    A
    `1:4`
    B
    `1/4:1`
    C
    `2:1`
    D
    `4:1`
  • A body is moving in a circular path with acceleration a if its velocity gets doubled find the ratio acceleration after and before the change

    A
    `1:4`
    B
    `1/4:1`
    C
    `2:1`
    D
    `4:1`
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    Explain the principle of homogenity of dimensions and derive an expression for the force F acting on a body moving in a circular path depending on the mass of the body (m) , velocity (9v) and radius (r ) of the circular path. Obtain the expression for the force by the dimensional analysis method (take the value k=1 )

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