Question
Download Solution PDFThe angular acceleration of a particle moving along a circular path with uniform speed is
Answer (Detailed Solution Below)
Option 2 : zero
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UP TGT Arts Full Test 1
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125 Questions
500 Marks
120 Mins
Detailed Solution
Download Solution PDFCONCEPT:
- Circular Motion: Circular motion is a movement of an object along the circumference of a circle or rotation along a circular path.
- The force acts continuously at right angles to the velocity of the particle.
- Uniform circular motion: The circular motion in which the speed of the particle remains constant is called uniform circular motion. In a uniform circular motion, force supplies the centripetal acceleration.
- In a uniform circular motion, a body is experiencing a force in the inward direction.
- Angular acceleration is the rate of change of angular velocity
\(\Rightarrow \alpha = \frac{Δ ω}{Δ t}\)
Where Δω = Change in angular velocity, Δt = Change in time
EXPLANATION :
- During uniform motion, the change in angular velocity is zero i.e.,
\(\Rightarrow \Delta \omega = 0\)
- Then the equation of angular acceleration becomes
\(\Rightarrow \alpha = \frac{\Delta \omega}{\Delta t} = \frac{0}{\Delta t} =0 \ m/s^{2}\)
- Hence, option 2 is the answer
Last updated on May 6, 2025
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