A rotating wheel changes angular speed from $$1800$$ rpm to $$3000$$ rpm in $$20$$ s. What is the angular acceleration assuming to be uniform? [KCET $$2014$$]

Question

Infinity Learn · Accepted Answer

We know that,   ω$$=2$$$$π$$nGiven,  $$n1=1800rpm$$,$$n2=3000rpm$$,Δ$$t=20$$ s            ω$$1=2$$$$π$$$$n1=2$$π×$$180060=2$$π×$$30=60$$$$π$$$$rad/sSimilarly$$,    ω$$2=2$$$$π$$$$n2=2$$π×$$300060=2$$π×$$50=100$$$$π$$$$rad/sIf$$ the angular velocity of a rotating wheel about an axis is changed by change in angular velocity in a time interval Δt,  then the angular acceleration of rotating wheel about that axis is given byα$$=$$ Change in angular velbcity  Time interval $$=$$ω$$2-$$ω$$1$$Δ$$t=100$$π$$-60$$$$π$$$$20=40$$$$π$$$$20=2$$$$π$$$$rads-2$$

A rotating wheel changes angular speed from 1800 rpm to 3000 rpm in 20 s. What is the angular acceleration assuming to be uniform? [KCET 2014]

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