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A cyclist starts form centre O of a cir...

A cyclist starts form centre ` O` of a circular park oa radius ` 1 km` and moves along the path ` OPRQO` as whown Fig. 2 (EP).15. If he maintais constant speed of ` 10 ms^(-1)`, what is his acceleration at point (R )in magnitude and direction ?
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Text Solution

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Centripetal acceleration, `a_(c) =v^(2) /r =(10^(2) /(1000) =0.1 m//s^(2)` along RO`.
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Knowledge Check

  • A cyclist starts from the centre O of a circular park of radius 1km, reaches the edge P of the park, then cycles along the PQ cicumference and returns to the centre along OQ as shown in fig. If the round trip taken ten minute, the net displacement and average speed of the cylists (in kilometer and kinetic per hour) is

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    B
    `(pi+4)/2, 0`
    C
    `21.4, (pi+4)/2`
    D
    `0,3(pi+4)`

  • A cyclist starts from the centre O of circular path of radius 10 m, covers the radius of circular path and reaches at point X on circumference, then cycles along the semi-circular path and reaches the point Y. If he takes 10 minutes to go from O to Y via X, then the net displacement and average speed of the cyclist would be

    A
    `Zero, 10 ms^(-1)`
    B
    `10 m, ((1+ pi)/60)ms^(-1)`
    C
    `10 m, ((1+ pi)/6)ms^(-1)`
    D
    `10 m, ((1- pi)/60)ms^(-1)`

  • A car is moving along a circular path of radius 500 m with a speed of 30 ms^(-1) . If at some instant its speed increases at the same rate of 2ms^(-2) , then at that instant the magnitude of resultant acceleration will be

    A
    `4.5 ms^(-2)`
    B
    `3.8 ms^(-2)`
    C
    `3 ms^(-2)`
    D
    `2.7 ms^(-2)`