A train is moving on a circular curve of radius 1500 m at the rate of 66 km

Question:

A train is moving on a circular curve of radius 1500 m at the rate of 66 km per hour. Through what angle has it turned in 10 seconds?

 

Solution:

Radius = 1500 m

Train speed at rate of $66 \mathrm{~km} / \mathrm{hr}=18.33 \mathrm{~m} / \mathrm{s}$

Therefore, Distance covered in 1 second $=18.33 \mathrm{~m}$

Distance covered in 10 second $=18.33 \times 10=183.33 \mathrm{~m}$

We know that $\theta=$ Distance $/$ radius

$\theta=183.33 / 1500$

$=0.122$ radian

Therefore $\theta=0.122 \times \frac{180}{\pi}=7^{\circ}$

 

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