75kg man move @ cnstnt speed in horiz. circle (r=15 m),he holds rope attached to pole @the center. ice=frictionless. Ft=350 N. Speed of man?

Remember all those SADMOB rules for formula transposition?

F= m v^2/r

step 1 multiply both sides by r

F * r = mv^2

step 2 divide both sides by m

F*r/m = v^2

Step 3 apply the inverse function ie take the square root of both sides.

v = sqrt( F * r / m)

Step 4 substitute values.

v = sqrt( 350 * 15/75)

step 5 evaluate.

v ~= 8.4 m/s

...

the tension is equal to centripetal force

Ft = m v^2 / r

350 N = 75 kg V^2 / 15 m

v^2 = 70

v = 8.367 m/s or about 8.4 m/s

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