The new Kinetic energy is 8000 J
Step-by-step explanation:
Step 1 :
Given,
The Kinetic energy of the fan = 2000J
We need to find new kinetic energy when the angular velocity is doubled.
Step 2 :
We have
KE = × m × v² = 2000
where m represents the mass and v represents the singular velocity
v = r ω where
r is radius of fan and ω is the angular velocity.
Given that the angular velocity is doubled singular velocity is also doubled. since the radius of the fan is the same in both cases we have
the new velocity = 2rω = 2v
So the KE = m(new velocity)² =
m(2v)² = 4 (
mv²) = 4 (2000) = 8000 J
Step 3 :
Answer :
The new Kinetic energy is 8000 J