Question

A railway train is travelling on a curve of 750 m radius at the
rate of 30 km/h, through what angle has it turned in 10
seconds?​

Answer 1

Answer:

1 / 9 rads .

Step-by-step explanation:

Given :

Speed = 30 km / hr

In term of m / sec

Speed = 30 ×  5 / 18 = 50 / 6  m / sec

Time = 10 sec

We know :

Speed = Distance / Time

Distance = 50 × 10 / 6 m

We also know :

Angle Ф = Arc / Radius

Here Arc = distance for curve .

Angle Ф = ( 50 × 10 ) / ( 6 × 750 ) R

Given R = 750 m

Angle = 50 / 6 × 75 R

Angle = 1 / 9 rads .

Therefore , angle train turned 1 / 9 rads angle .

Answer 2

Answer:

The answer is 1/9 rads.

Step-by-step explanation:

Here,

Radius = 750 m.

Speed = 30 kmph  Time= 10 sec

Distance =speed x time

=30 x (10/3600)

=1/12 km

s=r x angle

Angle= (1/12)/(750/1000)

=1/9 rads