A wheel starting from rest is uniformly accelerated at $$4rad$$ s−$$2$$ for $$10s$$. It is allowed to rotate at constant angular speed for the next $$10$$ s and is finally brought to rest in the next $$10$$ s. Find the total angle rotated by the wheel?

Question

A  wheel starting from rest is uniformly accelerated at $$4rad$$  s−$$2$$      for $$10s$$. It  is allowed to rotate at constant angular speed for the next $$10$$ s and is  finally brought to rest in the next $$10$$ s. Find the total angle rotated by the  wheel?

Infinity Learn · Accepted Answer

ω$$0=0$$,   $$t1=10s$$,  θ$$1=$$ω$$0t1+12$$α$$t12$$ $$=0+12(4)(10)2=200$$  rad ω$$=$$ω$$0+$$αt  $$=0+(4)(10)=40$$  rad  s−$$1$$ θ$$2=$$ω$$t2=(40)(10)=400$$  rad θ$$3=$$ω$$t3$$−$$12$$α$$t32=(40)(10)$$−$$12(4)(10)2$$ $$=200$$  radθ$$total=200+400+200=800$$  rad

A wheel starting from rest is uniformly accelerated at $4 r a d s^{- 2}$ for 10s. It is allowed to rotate at constant angular speed for the next 10 s and is finally brought to rest in the next 10 s. Find the total angle rotated by the wheel?

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A wheel starting from rest is uniformly accelerated at 4rad s−2 for 10s. It is allowed to rotate at constant angular speed for the next 10 s and is finally brought to rest in the next 10 s. Find the total angle rotated by the wheel?

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Ready to Test Your Skills?

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A wheel starting from rest is uniformly accelerated at $4 r a d s^{- 2}$ for 10s. It is allowed to rotate at constant angular speed for the next 10 s and is finally brought to rest in the next 10 s. Find the total angle rotated by the wheel?