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Radius and Speed with Hypothetical Modicfications

A particle rotates in a circle with centripetal acceleration a= 22 m/s 2.


a) What is a If the radius is doubled without changing the particle’s speed?

a = v2/r

if radius is doubled,

a = v2/2r

or vx 1/2

22/2 : By looking at the equation, it should be halved since you are basically multiplying it by 1/2

= 11 m/s


b) What is a if the speed is doubled without changing the circle’s radius?

a = v2/r

if speed is doubled,

a = 2v2/r

or 2 * v/ r

22 * 4 ( By looking at the equation, it should be quadrupled since there is a factor of v2)

= 88 m/s

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