A horizontal $$90$$ kg $$merry-go-round$$ is a solid disk of radius $$1.50$$ m and is started from rest by a constant horizontal force of $$50.0$$ N applied tangentially to the edge of the disk. The kinetic energy of the disk after $$3.00$$ s is

Question

Infinity Learn · Accepted Answer

From the rigid object under a net torque model,          ∑ τ $$=$$ lα → α $$=$$ ∑ τ$$l=$$ $$FR12MR2$$ $$=$$ $$2FMR$$ From the definition of rotational kinetic energy and the rigid object under constant angular acceleration model.      K $$=$$ $$12I$$ω$$2=$$ $$12I($$ω$$1+$$α$$t)2$$          $$=$$ $$12I$$α$$2t2$$ $$=$$ (12MR2)(2FMR)2t2$$ $$=$$ $$F2t2MSubstituting$$, K $$=$$ $$(50.0$$ $$N)2(3.00$$ $$s)2$$ $$(90.0$$ $$kg) $$=$$ $$250$$ J

A horizontal 90 kg merry-go-round is a solid disk of radius 1.50 m and is started from rest by a constant horizontal force of 50.0 N applied tangentially to the edge of the disk. The kinetic energy of the disk after 3.00 s is

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