In a cycle race, a boy was cycling in such a way that the wheels are making 200 revolutions per minute. Diameter of the wheel is 50cm, what is the cycling speed per hr?

14.7 km/hr

No worries! We‘ve got your back. Try BYJU‘S free classes today!

17 km/hr

No worries! We‘ve got your back. Try BYJU‘S free classes today!

18.84 km/hr

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

20 km/hr

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
18.84 km/hr

Diameter of the cycle wheel = 50cm [radius=25cm]

No. of revolutions per minute = 200

∴ No. revolutions in an hour = 200 x 60 = 12000

Distance covered in one revolution = Circumference of the wheel = $π d$ = 50 $π$ cm

∴ Distance covered in an hour = 12000 x $π d$ = 12000 x 50 $π$ = 1884000 cm = 18.84 km

Hence the speed of the cyclist is 18.84 km/hr.

Suggest Corrections

Similar questions

A boy is cycling in such a way that the wheels of his bicycle are making 140 revolutions per minute. If the diameter of a wheel is 60 cm, calculate the speed (in km / hr) at which the boy is cycling.

The wheel of a cart is making 5 revolutions per second. If the diameter of the wheel is 84 cm, find its speed in km/hr. Give answer correct up to the nearest km.

The wheel of a cart is making 4 revolutions per second. If the diameter of the wheel be 84 cm, find its speed.

Q. The wheel of a motor cycle is of radius

35 c m

. How many revolutions per minute must the wheel make so as to keep a speed of

66 k m / h r

Q. A boy is cycling such that the wheels of the cycle are making 140 revolutions per hour. If the diameter of the wheel is 60 cm then calculate the speed (in km/h) with which the boy is cycling.

Join BYJU'S Learning Program