angular velocity to linear velocity
Mathematically, if the displacement is very less; For finding the relation between the angular and linear velocity we must first find the relation between the linear displacement (x) and the angular displacement ($\theta$). .) The linear velocity of Earth’ spin at the equator is about v = ! r ≈ 0.262516 (rad) hr !3963.2 miles ≈ 1040.4 mph. Dr. Neal, WKU (b) At 50º N latitude, the angular velocity is the same, but the radius is smaller. (a) Give the angular velocity in rad/sec and in degrees per second. (b) Find the linear velocity of a point on its rim in mph. Solution. (a) To convert rpm (revolutions per minute) to radians per second, we first note that there are 2! radians per revolution. 1 The equation of Linear velocity is: v = $\frac{x}{t}$ m/sec. 2  The linear velocity could be constant since the object could be travelling with constant speed without changing its direction. 3  Angular Velocity It is the velocity of object travelling in the circular or curved or angular path. (b) We use v = ! r, but we must be in the correct units. The angular velocity must use radians. Thus, the linear velocity is then 4!radsec2.5 ft =10! ft sec. Converting to mph, we obtain 10! ft sec=10! ft sec3600sec hr 15280 mileft ≈ 21.42 mph. Example 2. A tire with a 9 inch radius is rotating at 30 mph. (Linear Velocity (v) = change in distance/change in time v = ^d/^t Angular Velocity....as the name implies...deals with speed through an angle, or in a circular motion, the units are often radians per second or degrees per second. The equation of Angular velocity is: $\omega$ = $\frac{\theta}{t}$ radians/sec. 4. The linear velocity could be constant since the object could be travelling with constant speed without changing its direction. The angular velocity could not be constant since the body is constantly changing its direction. Everything which turns or moves in the circular direction has both linear velocity and angular velocity. The angular velocity of a particle traveling on a circular path is defined as ratio of the angle traversed to the amount of time it takes to traverse that angle. Relevance. Rating Newest Oldest. Best Answer: The relation between linear velocity and angular velocity is that. Linear Velocity....as the name implies....deals with speed in a straight line, the units are often km/hr or m/s or mph (miles per hour). [Angular Velocity (w) = change in rotation / change in time w = ^0 / ^t To relate the two types of velocity to each other, we can use the following relationship: v = rw where r = radius. Source(s): rhodadat's villa. rhodadat · 8 years ago. Thumbs up.
The linear velocity could be constant since the object could be travelling with constant speed without changing its direction while The angular velocity could not be constant since the body is constantly changing its direction.