An air craft makes a turn in a horizontal circle of radius100m. It is travelling with a velocity of 250m/sec. The angular velocity of the air craft will be?

3 rad/sec

3.5 rad/sec

1.5 rad/sec

2.5 rad/sec

Explanation

Angular velocity (ω) is defined as the rate of change of angular displacement (θ) with respect to time (t). It can be calculated using the formula:

ω = v / r

Where:

v = linear velocity (in m/s)

r = radius of the circle (in m)

Given:

v = 250 m/s (linear velocity)

r = 100 m (radius of the circle)

ω = v / r

= 250 m/s / 100 m

= 2.5 rad/s

So, the angular velocity of the aircraft is 2.5 rad/sec.