A rotating flywheel has been proposed as a means of temporarily storing mechanical energy in an automobile, providing an energy source for the car. The energy that can be stored in this way is limited by the size and weight of the flywheel and by the maximum angular velocity it can attain without flying apart. Suppose a solid cylindrical flywheel of radius 85.0 cm and mass 90.0 kg rotates at a maximum angular velocity of 240 rad/s. Find the maximum rotational energy of the flywheel. How many liters of gasoline would provide the same mechanical energy given that each liter provides 8.50 x 106 ] of mechanical energy? liters of gasoline
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
![A rotating flywheel has been proposed as a means of temporarily storing mechanical energy in an automobile, providing an energy source for the car. The energy that can be stored in this way is limited by the
size and weight of the flywheel and by the maximum angular velocity it can attain without flying apart. Suppose a solid cylindrical flywheel of radius 85.0 cm and mass 90.0 kg rotates at a maximum angular
velocity of 240 rad/s. Find the maximum rotational energy of the flywheel.
How many liters of gasoline would provide the same mechanical energy given that each liter provides 8.50 x 106 ] of mechanical energy?
liters of gasoline](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d140e90-9231-4c4e-ab7e-24289e526943%2F4945ad2f-09fe-47d7-b123-f217d207e7f2%2F1lfajb_processed.jpeg&w=3840&q=75)
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