Incorrect Answer If the horizontal circular path the riders follow has a radius of 6.5 m, at how many revolutions per minute will the riders be subjected to a centripetal acceleration 1.35 times that due to gravity?

85.8 rad/min

Explanation:

Centripetal acceleration: This is the acceleration of a body in circular motion, and it tends towards the center of the circle. The S.I unit of centripetal acceleration m/s²

The formula of centripetal acceleration is given as,

a = ω²r Equation 1

Where a = acceleration, r = radius, ω = angular velocity.

make ω the subject of the equation

ω = √(a/r) Equation 2

Given: r = 6.5 m, a = 1.55×9.8 = 13.23 m/s²

substitute into equation 2

ω = √(13.23/6.5)

ω = √2.035

ω = 1.43 rad/s = (1.43×60) rad/min = 85.8 rad/min

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