Answer: Doubling the angular velocity results in quadrupling the centripetal acceleration.
Explanation:
Since a=r × ω²
where:
r = radius of the circular motion, and
a = centripetal acceleration, and
ω = angular velocity.
If the angular velocity is doubled, the centripetal acceleration will increase by a factor of four. This is because the angular velocity is squared in the formula. The relationship is nonlinear, and doubling the angular velocity will result in four times the centripetal acceleration.
Answers & Comments
Answer: Doubling the angular velocity results in quadrupling the centripetal acceleration.
Explanation:
Since a=r × ω²
where:
r = radius of the circular motion, and
a = centripetal acceleration, and
ω = angular velocity.
If the angular velocity is doubled, the centripetal acceleration will increase by a factor of four. This is because the angular velocity is squared in the formula. The relationship is nonlinear, and doubling the angular velocity will result in four times the centripetal acceleration.