Question

a stationary wheel starts rotating about its own axis at constant angular acceleration if the wheel Completes 50 rotations in first 2 seconds then the number of rotations made by it in next 2 second is

Answer 1

Let constant angular acceleration is α rev/s²
ω₀ = 0 { initially, because wheel is rest }
θ = 50 rev
t = 2sec
use the formula, θ = ω₀t + 1/2αt²
θ = 1/2αt²
50 = 1/2α × (2)² ⇒ α = 25 rev/s²

Let after 2 sec angular velocity will be ω
use formula, ω = ω₀ + αt
ω = 25 × 2 = 50 rev/s

Now, number of revolution after 2sec ,
θ = ωt + 1/2αt²
θ = 50 × 2 + 1/2 × 25 × 2²
θ = 100 + 50 = 150 rev

Hence, number of revolution or rotations made by it = 150 rev

Answer 2

Answer:

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