Physics Homework 61 Rotational Kinematics Answers
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How to Solve Physics Homework 61 Rotational Kinematics Answers
Rotational kinematics is the study of the motion of rotating objects, such as wheels, disks, and planets. In this article, we will show you how to solve some common problems from Physics Homework 61 Rotational Kinematics Answers using the concepts and formulas of rotational kinematics.
What is Rotational Kinematics
Rotational kinematics is a branch of physics that deals with the description of the motion of rotating objects without considering the forces that cause them to rotate. Rotational kinematics is similar to linear kinematics, which describes the motion of objects moving in a straight line. However, rotational kinematics involves angular quantities, such as angular displacement, angular velocity, and angular acceleration, instead of linear quantities, such as displacement, velocity, and acceleration.
Angular Displacement
Angular displacement is the angle through which an object rotates in a given time interval. It is measured in radians (rad) or degrees (Â). The symbol for angular displacement is theta (Î). The formula for angular displacement is:
where s is the arc length and r is the radius of the circular path.
Angular Velocity
Angular velocity is the rate of change of angular displacement with respect to time. It is measured in radians per second (rad/s) or degrees per second (Â/s). The symbol for angular velocity is omega (Ï). The formula for angular velocity is:
where ÎÎ is the change in angular displacement and Ît is the change in time.
Angular Acceleration
Angular acceleration is the rate of change of angular velocity with respect to time. It is measured in radians per second squared (rad/s^2) or degrees per second squared (Â/s^2). The symbol for angular acceleration is alpha (Î). The formula for angular acceleration is:
where ÎÏ is the change in angular velocity and Ît is the change in time.
How to Solve Physics Homework 61 Rotational Kinematics Answers
To solve physics homework 61 rotational kinematics answers, you need to apply the concepts and formulas of rotational kinematics to the given problems. Here are some examples of how to do that:
Example 1
A wheel rotates with an initial angular velocity of 10 rad/s and a constant angular acceleration of 2 rad/s^2. What is its angular velocity after 5 seconds
Solution:
We can use the formula for angular acceleration to find the final angular velocity:
Rearranging for ÎÏ, we get:
Substituting the given values, we get:
The final angular velocity is the initial angular velocity plus the change in angular velocity:
Substituting the given values, we get: 248dff8e21