A flywheel on a motor goes from rest to 1000 rpm in 6 sec. The number of revolutions made is nearly equal to

It must be 100

Intial angular velocity , ω₀ = 0 [because flywheel moves from rest ]
final angular velocity, ω = 1000 rpm = 1000/60 rev/sec
Time taken , t = 6 sec

We know, the formula,
ω = ω₀ + αt
Where α is angular acceleration.
1000/60 = 0 + α6
α = 1000/360 = 100/36 = 25/9 rev/s²

Now, use formula
θ = ω₀t + 1/2αt²
= 0 + 1/2 × 25/9 × (6)²
= 1/2 × 25/9 × 36
= 1/2 × 25 × 4
= 50 rev

Hence , number of revolution =50

1000*6/60 = 100 will be the answer

Will you give me the brief description of this question.

Job

How it is came 50??