Question

The angular speed of a motor wheel is increased from 1200 RPM to 3120 RPM in 16 seconds what is its angular acceleration assuming acceleration to be uniform

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Kurian J asked in Physics

The angular speed of a motor wheel is increased from1200rpm to 3120rpm in 16sec. 
Find its angular acceleration 
How many revolutions does it make in the centre

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Satyendra Singh answered this
1187 helpful votes in Physics, Class XII-Science

Dear student,
Find the answer to your query as under:

given:

Ni = 1200 rpm 
ωi = 2π Ni
ωi  = 125.6 rad /s
similarly,
ωf  = 326.56  rad/s
t = 16 s

from the first equation of motion in rotation:

ωf = ωi + αt
326.56 = 125.6 + 16α
α = 12.56 rad/s2

Now, 

from the second equation of motion in rotation
θ​ = ​ωit + 0.5​αt2

θ​ = 3617.28 rad

Now, 
No. of rotations = θ/  2π = 575.70 or nearly 576 rotations at the centre.​