Question

a wheel 14 centimetre in diameter makes 3000 revolutions per minute find speed in metre per second

Answer 1

Speed = (Distance covered) / Time Taken

Revolutions per minute = 3000 / 60 = 50 revolutions per second
Distance covered in one revolution = Circumference of wheel
= 2r
= (2 * 22 * 7)/7
= 44 cm = 44/100 = 0.44m
Total distance covered in a second = 0.44 * 50 = 22 meter in a second
so the speed is 22 m/sec

Answer 2

No. Of revolution in 1 minute = 3000

No. Of revolution in 1 second = 3000 /60

= 50

Diameter of wheel = 14 cm

Radius = 7 cm

Circumference = 2 *22 * 7 / 7

= 44 cm

Distance covered in 1 second = 44 * 50 cm

= 2200 cm

= 22 m

Speed = Distance / Time

= 22 / 1

= 22 m/s