A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

Solution:

Given,

Number of revolution made by the wheel in 1 minute

= 360

We know 1 minute = 60 seconds

The number of revolution wheels will make in one second

= 360 / 60 = 6.

One complete revolution = 2 π radian

The number of radians wheel will turn in 1 second

= 2 π× 6 = 12 π.

NCERT Solutions Class 11 Maths Chapter 3 Exercise 3.1 Question 3

A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

Summary:

Given that a wheel makes 360 revolutions in one minute. Thus, the wheel will turn 12 π radians in one second