HESI A2 Exam: Linear and Rotational Velocity
• How is angular velocity measured?
• What is the equation for linear velocity?
• What is the equation for angular displacement?
• What is the equation for angular velocity?
Velocity is measured in feet per second.
Velocity signifies how fast an object is moving and in what direction it is moving.
The standard scientific unit for linear velocity is meters per second. Linear velocity is the speed and direction of an object moving in a straight line.
The standard scientific unit for angular velocity is radians per second.
Rotational velocity is the rotation rate of an object, measured in radians per second.
Linear Velocity Problem
A ball travels 40 meters in five seconds while rotating ten times over the 40 meters. What is the linear velocity?
Linear velocity equals displacement (distance traveled) divided by time. 40/5 = 8 meters per second.
Angular Displacement Problem
A ball travels 40 meters in five seconds while rotating ten times over the 40 meters. What is the angular displacement?
In angular displacement, each full rotation is 2-pi radians, and it rotated 10 times. 2-pi times 10 is the same as 20-pi. So the angular displacement is 20-pi. If we multiply 20(3.14), we get 62.8 radians.
Angular Velocity Problem
A ball travels 40 meters in five seconds while rotating ten times over the 40 meters. What is the angular velocity?
First we need to find angular displacement. In angular displacement, each full rotation is 2-pi radians, and it rotated 10 times. 2-pi times 10 is the same as 20-pi. So the angular displacement is 20-pi. If we multiply 20(3.14), we get 62.8 radians. Angular velocity equals angular displacement divided by time, and since the total time is 5 seconds, 62.8/5 = 12.56 radians per second.
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