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A bicyclist (Fig.) travels in a circle of radius 25 m at a constant speed of 8.7 m/s. The combined mass of the bicycle and rider is 85 kg. Calculate the force-magnitude and angle with the vertical-exerted by the road on the bicycle.

A bicyclist (Fig.) travels in a circle of radius 25 m at a constant speed of 8.7 m/s. The combined mass of the bicycle and rider is 85 kg. Calculate the force-magnitude and angle with the vertical-exerted by the road on the bicycle.

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
7 years ago
233-2303_1.PNG
233-290_1.PNG
Round off to three significant figures,
Fnet = 872 N
Therefore, the magnitude of the net force acting on the bicycle is 872 N .
The angle at which the net force acts is given as:

233-1078_1.PNG
Therefore, the angle at which the net force acts is 17° .

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