Angular Speed Calculator is a free online tool that displays the angular speed for the given frequency value. BYJU’S online angular speed calculator tool performs the calculation faster and it displays the angular speed in a fraction of seconds.
How to Use the Angular Speed Calculator?
The procedure to use the angular speed calculator is as follows:
Step 1: Enter the frequency value, and x for the unknown value in the input field (Example: 59)
Step 2: Now click the button “Calculate x” to get the angular speed
Step 3: Finally, the angular speed for the given frequency will be displayed in the output field (I.e., Angular Speed = 370.7079 rad/s)
What is Meant by Angular Speed?
The angular speed of an object is the measure of the change in the angular position of an object in a given period of time. The angular speed of the object should possess the same magnitude at any point on the rotating object. It is a scalar quantity. It is represented by the symbol ω. The angular speed is also known as the angular frequency. There is a difference between angular frequency and the angular velocity. The association between these two is that velocity and speed. It defines that angular frequency/ angular speed is scalar whereas angular velocity is a vector. Mathematically, it can be expressed as:
ω = 2πf,
ω = is the angular speed
f is the frequency
Angular Speed Example
Calculate the angular speed of the object whose frequency is 78 Hz
Given that, frequency = 78Hz
We know that the formula to calculate angular speed is given by
ω = 2πf,
Substitute f = 78 in the formula, we get
ω = 2(3.14159)(78)
ω = 490.0884
Hence, the angular speed is 490.0884 rad/s
Also, check: Angular Speed Formula
Find the angular speed of the object, given that t = 60 seconds
Given that, t= 60 s
We know that f = 1/t
The formula to calculate angular speed is ω = 2πf,
Now, substitute f = t/t, then the formula becomes
ω = 2π/t,
By substituting the value of t= 60 seconds in the above-obtained formula, we get
ω = 2π/60
ω = 3.14/30
ω =0 .10 rad/sec
Therefore, the angular velocity of the object is 0.10 rad/s.