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

1.	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?
Answer» Radius = 1500 m. Train speed at rate of 66km/hr = 18.33 m/s Therefore, Distance covered in 1 second = 18.33 m Distance covered in 10 second = 18.33 × 10 = 183.33m We know that θ = Distance / radius θ = 183.33 / 1500 = 0.122 radian Therefore θ = 0.122 x 180/π = 7°

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?

Answer»

Radius = 1500 m.

Train speed at rate of 66km/hr = 18.33 m/s

Therefore, Distance covered in 1 second = 18.33 m

Distance covered in 10 second = 18.33 × 10 = 183.33m

We know that θ = Distance / radius

θ = 183.33 / 1500

= 0.122 radian

Therefore θ = 0.122 x 180/π = 7°