Question
A wheel initially at rest, is now rotated with a uniform angular acceleration. The wheel rotates through an angle θ1 in first one second and through an additional angle θ2 in the next one second. The ratio θ2θ1 is
Answer: Option C
:
C
Angular displacement in first one second θ1=12α(1)2=α2...(i) [Fromθ=ω1t+12αt2]
Now again we will consider motion from the rest and angular displacement in total two seconds
θ1+θ2=12α(2)2=2α...(ii)
Solving (i) and (ii) we get θ1=12 and θ2=3α2 ∴θ2θ1=3.
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:
C
Angular displacement in first one second θ1=12α(1)2=α2...(i) [Fromθ=ω1t+12αt2]
Now again we will consider motion from the rest and angular displacement in total two seconds
θ1+θ2=12α(2)2=2α...(ii)
Solving (i) and (ii) we get θ1=12 and θ2=3α2 ∴θ2θ1=3.
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