badge image

Enroll For Free Now & Improve your performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: upto college level

                        

In what sense is the radian a "natural" measure of angle and the degree an "arbitrary" measure of that same quantity? Hence what advantages are there in using radians rather than degrees?

5 years ago

Answers : (1)

Deepak Patra
askIITians Faculty
471 Points
							
The measure of angle in radians is defined as:
angle = arc / radius
ϕ = s / r
Here ϕ is the measured angle, s is the length of the arc and r is the distance between the rotating point and the axis of rotation.
It can be seen from above that the angle is defined using the linear variables “length of the arc” and “the distance between the rotating point and the axis of rotation”, which makes radian as a natural measure of angle.
The relationship to the linear variables is easier to analyze and to get the sense of the motion of the point in terms of linear physical quantities such as linear acceleration, linear velocity etc.
Therefore it is insisted that one must use radians as a unit when the equation involve both linear and angular variables because describing the angular variables in terms of a linear term makes the calculation and interpretation part of the problem easier.
Using degree as a unit involves complex factors appearing in calculations.
5 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 101 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 110 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details