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 v² x 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 * v² / r

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

= 88 m/s