A fan starts from 5 rad/s and speeds up at a constant angular acceleration of 25 rad/s^2 for 5.0 seconds. What is the final angular velocity of the fan (in radians/second)

ω = ω₀ + α t

where

ω = final angular velocity

ω₀ = initial angular velocity = 5 rad/s

α = angular acceleration = 25 rad/s²

t = time = 5.0 s

Solve for ω :

ω = 5 rad/s + (25 rad/s²) (5.0 s) = 130 rad/s

answer: 802.3 kilo joules of energy represents 191.75 kilo calorie of energy.

explanation:

energy released during combustion of one mole methane = 802.3 kilo joules

if 1 kilo joule = 0.239006   kilo calorie

then ,802.3 kilo joule will be = 802.30.239006 kilo calorie

802.3 kilo joule = 191.75 kilo calorie

hence, the energy in kilo calorie is 191.75 kilo calorie.