
The frequency of rotation of a ceiling fan increases from to in seconds. Its average angular acceleration is
(A)
(B)
(C)
(D)
Answer
153.9k+ views
Hint Use the formula of the angular acceleration given below and substitute the calculated value of the difference in the frequency of the rotation and the time taken in it and the simplification of this equation, to find the value of the acceleration from it.
Useful formula
The formula of the angular acceleration is given by
Where is the angular acceleration of the rotating ceiling fan, is the difference in the frequency of rotation and is the time taken.
Complete step by step solution
It is given that the
At first, frequency of the ceiling fan,
Then, frequency of the ceiling fan,
Time taken for the rotation of the ceiling fan,
The difference in the angular acceleration is calculated as
Substitute the known values in it,
Simplifying the above equation, we get
The difference in the value of the frequency is obtained as .
By using the formula of the angular acceleration,
Substituting the known values in the above equation,
By performing the division in the above equation, we get
Hence the value of the angular acceleration of the rotating ceiling fan is obtained as .
Thus the option (A) is correct.
Note The ceiling fan rotates in the circular motion, hence the velocity considered is angular velocity and the acceleration is the angular acceleration. The frequency considered in the above solution is the same as that of the angular velocity.
Useful formula
The formula of the angular acceleration is given by
Where
Complete step by step solution
It is given that the
At first, frequency of the ceiling fan,
Then, frequency of the ceiling fan,
Time taken for the rotation of the ceiling fan,
The difference in the angular acceleration is calculated as
Substitute the known values in it,
Simplifying the above equation, we get
The difference in the value of the frequency is obtained as
By using the formula of the angular acceleration,
Substituting the known values in the above equation,
By performing the division in the above equation, we get
Hence the value of the angular acceleration of the rotating ceiling fan is obtained as
Thus the option (A) is correct.
Note The ceiling fan rotates in the circular motion, hence the velocity considered is angular velocity and the acceleration is the angular acceleration. The frequency considered in the above solution is the same as that of the angular velocity.
Recently Updated Pages
JEE Main 2022 (June 29th Shift 2) Maths Question Paper with Answer Key

JEE Main 2023 (January 25th Shift 1) Maths Question Paper with Answer Key

JEE Main 2022 (July 29th Shift 1) Maths Question Paper with Answer Key

JEE Main 2022 (July 26th Shift 2) Chemistry Question Paper with Answer Key

JEE Main 2022 (June 26th Shift 2) Maths Question Paper with Answer Key

JEE Main 2022 (June 29th Shift 1) Physics Question Paper with Answer Key

Trending doubts
Learn About Angle Of Deviation In Prism: JEE Main Physics 2025

Ideal and Non-Ideal Solutions Raoult's Law - JEE

JEE Main 2025: Conversion of Galvanometer Into Ammeter And Voltmeter in Physics

Charging and Discharging of Capacitor

If the unit of power is 1Kilo Watt the length is 100m class 11 physics JEE_Main

Which of the following statements is correct if the class 11 physics JEE_Main

Other Pages
JEE Advanced 2025: Dates, Registration, Syllabus, Eligibility Criteria and More

NCERT Solutions for Class 11 Physics In Hindi Chapter 1 Physical World

Laws of Motion Class 11 Notes: CBSE Physics Chapter 4

JEE Advanced 2025 Revision Notes for Physics on Modern Physics

JEE Advanced 2025 Revision Notes for Mechanics

The quantity of heat required to heat one mole of a class 11 physics JEE_Main
