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 a turn in 10 seconds

Answer 1

$\textbf{Answer:}$


Given,

$radius \: of \: the \: circle = 1500m \\ \\ speed \: of \: the \: train = \frac{66 \times 1000}{3600} \\ \\ = 18.33 \: metre \: per \: second \\ \\ distance \: covered \: by \: train \: in \: 1 \: second = 18.33m \\ \\ distance \: covered \: in \: 10 \: second = 18.33 \times 10 \\ \\ = 183.33m \\ \\ θ = \frac{arc}{radius} \\ \\ = \frac{183.33}{1500} \\ \\ = 0.122 \: radians$

$\textbf{Hope it helps you!}$