Physics

Question

A particle is constrained to move round a circle radius 382400km and makes a single revolution in 27.3 days. (i). Find the velocity in ms-1. (ii). Find its acceleration

1 Answer

  • The velocity and acceleration of the particle moving round the circle is;

    Velocity = 162.12 m/s

    Velocity = 162.12 m/sAcceleration = 6.873 × 10^(-5) m/s²

    We are given;

    Radius of circle; 382400 km = 382400000 m

    Time; t = 27.3 days = 27.3 × 86400 s = 2358720 s

    Now, formula for velocity is;

    Velocity = distance/time

    Thus;

    I) velocity = 382400000/2358720

    Velocity = 162.12 m/s

    II) Acceleration is centripetal acceleration and is given by the formula;

    a = v²/r

    a = 162.12²/382400000

    a = 6.873 × 10^(-5) m/s²

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