Question #106484

1. A car with tires of diameter 787 mm travels on the highway at 76 mph (1 mph = 0.44704 m/s). How long does it take a pebble stuck on the tread of the tire on its radial edge to revolve around the tire?


Report the value in milliseconds rounded to the nearest whole number.

Expert's answer

v=2πrTT=2πrvv=\frac{2\pi r}{T}\to T=\frac{2\pi r}{v}

T=2π(0.787)(76)(0.44704)=0.146 s=146 msT=\frac{2\pi (0.787)}{(76)(0.44704)}=0.146\ s=146\ ms


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