a stationary wheel starts rotating about its own axis at constant angular acceleration if the wheel completes 50 rotations in first 2 seconds then the number of rotations made by it in next 2 seconds is
Asked by vvelesha
23rd August 2018,
10:33 PM
Answered by Expert
Answer:
The required formula to be used to solve this question is " θ - θ0 = ω0 t + (1/2)α t2 " ,
where θ and θo are final and initial angular displacement respectively.
ωo is initial angular speed of rotation, α is angular acceleration and t is time duration.
since the wheel stars from rest, ωo = 0 and we are given that ( θ - θ0 ) = 50×2π;
50×2π = (1/2)×α×4 , or α = 50π
we get angular speed of rotation after 2 s, using the formula " ω = ωo + α t ",
ω = 50π×2 = 100π radians / s
angular displacement for next 2 seconds :- θ - θ0 = 100π×2 + (1/2)×50π×4 = 300π
number of rotations = 300π/(2π) = 150
Answered by Expert
24th August 2018,
12:05 PM
Rate this answer
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
You have rated this answer 2/10
Your answer has been posted successfully!
RELATED STUDY RESOURCES :
Browse free questions and answers by Chapters
- 1 Thermodynamics
- 2 Gravitation
- 3 Electromagnetic Waves
- 4 Communication Systems
- 5 Laws of Motion
- 6 Current Electricity
- 7 Work, Energy and Power
- 8 Kinematics
- 9 Physics and Measurement
- 10 Rotational Motion
- 11 Properties of Solids and Liquids
- 12 Kinetic Theory of Gases
- 13 Oscillations and Waves
- 14 Electrostatics
- 15 Magnetic Effects of Current and Magnetism
- 16 Electromagnetic Induction and Alternating Currents
- 17 Optics
- 18 Dual Nature of Matter and Radiation
- 19 Atoms and Nuclei
- 20 Electronic Devices
Trending Tags
Latest Questions
JEE Main Mathematics
Asked by amaladelsingh
28th October 2020,
10:24 PM
CBSE X Biology
Asked by reenacharan2008
28th October 2020,
9:11 PM
