A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 126-mile trip in a typical midsize car produces about 2.99 x 109 J of energy. How fast would a 45.8-kg flywheel with a radius of 0.512 m have to rotate to store this much energy? Give your answer in rev/min.

ω = ?

mass = 45.8kg

r = 0.512m

E = 2.99*10⁹J

Kinetic Energy of rotation = I * ω²

K.E = I * ω²

I = ½ m*r²

I = ½ * 45.8 * (0.512)²

I = 6.0kgm²

K.E = ½ * I * ω²

ω = √(2K.E / I )

ω = √[( 2* 2.99*10⁹) / 6]

ω = 3.157*10⁴ rad/s

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.