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Q.

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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a

600 rad

b

700 rad

c

800 rad

d

1000 rad

answer is C.

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Detailed Solution

ω0=0,   t1=10s,  θ1=ω0t1+12αt12 =0+12(4)(10)2=200  rad ω=ω0+αt  =0+(4)(10)=40  rad  s−1 θ2=ωt2=(40)(10)=400  rad θ3=ωt3−12αt32=(40)(10)−12(4)(10)2 =200  radθtotal=200+400+200=800  rad
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