Question

A cyclist paddling at a speed of 10 m/s on a level road takes a sharp circular turn of radius 10 m without reducing the speed. The angle made by cyclist with vertical is?
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Answer 1

Answer:

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Answer 2

Answer:

The angle made by the cyclist with vertical is $\frac{\pi }{4}$

Explanation:

Given:

Speed of the cyclist (v) = 10 m/s

The radius of the circular turn (r) = 10 m

To Be Calculated:

The angle made by the cyclist with vertical

Solution:

Let the required angle be $\alpha$

To Calculate the angle, we have

$tan \alpha =\frac{v^{2} }{Rg}$

Where g is the acceleration due to gravity, v is the velocity and R is the radius of the circular turn.

Putting the given parameters in the above formula, we have:

$tan \alpha =\frac{10^{2} }{10*10}$

$tan \alpha =1 \\\alpha = \frac{\pi }{4}$

Thus, The angle made by the cyclist with vertical is $\frac{\pi }{4}$

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