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When the radius and the mass of the rotating object are held constant does increasing the period increase or decrease the centripetal force?
Wiki User
∙ 14y ago
f = m * ( v^2 / r )
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if the mass (m) and circular velocity (v) remain constant, increasing the radius (r) will decrease the force (f), and vice versa.
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example:
10 kg mass, 10 m/s circular velocity, radius 1 m
force = 1 000 n
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double the (1 m) radius to 2 metres
force = 500 n (halved)
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halve the (1 m) radius to 0.5 metres
force = 2 000 n (doubled)
Wiki User
∙ 12y ago
Wiki User
∙ 14y agoThink it out for yourself. If you increase the period (time per cycle) does that mean you have increased or decreased the speed? Once you've figured that out it's obvious.
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