Question
Download Solution PDFAn object is moving in a circle with uniform angular speed. If the radius of the circle is doubled, then its centripetal acceleration will
Answer (Detailed Solution Below)
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.
Where ac is centripetal acceleration, v is velocity, r is the radius and ω is angular velocity.
- The speed and kinetic energy of the particle remains constant.
- Non-uniform circular motion: The circular motion in which the speed of the particles changes by time is called non-uniform circular motion.
EXPLANATION:
Given that:
The radius of the circular path is doubled: r' = 2r
Initial centripetal acceleration (ac) = ω2r
Final centripetal acceleration (a'c) = ω2r' = ω2(2r) = 2ω2r = 2ac
So option 3 is correct.
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