Haryana PMT Haryana PMT Solved Paper-2008

  • question_answer
    A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 s for every                 circular lap. The average velocity and average speed for each circular lap respectively is

    A)  0, 0                                       

    B)  0, 10 m/s

    C)  10 m/s, 10 m/s                

    D)  10 m/s, 0

    Correct Answer: B

    Solution :

                    Average velocity is defined as the ratio of displacement to time taken while the average speed of a particle in a given interval of time is defined as the ratio of distance travelled to the time taken. On a circular path in completing one turn, the distance travelled is 2nr while displacement is zero. Hence, average velocity \[\frac{displacement}{time\,-\text{interval}}\]                 \[=\frac{0}{t}=0\] Average speed \[=\frac{\text{Distance}}{Time-\text{interval}}\]                 \[=\frac{2\pi r}{t}=\frac{2\times 3.14\times 100}{62.8}\]                 \[=10m/s\]


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