Total Distance Traveled given Velocity and Angular Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Distance Traveled = (Velocity^2)/(Angular Frequency^2)
Dtotal = (v^2)/(ω^2)
This formula uses 3 Variables
Variables Used
Total Distance Traveled - (Measured in Meter) - Total Distance Traveled is the total distance traveled by the body to cover the space.
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
STEP 1: Convert Input(s) to Base Unit
Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Angular Frequency: 10.28 Revolution per Second --> 10.28 Hertz (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dtotal = (v^2)/(ω^2) --> (60^2)/(10.28^2)
Evaluating ... ...
Dtotal = 34.0656179503096
STEP 3: Convert Result to Output's Unit
34.0656179503096 Meter --> No Conversion Required
FINAL ANSWER
34.0656179503096 34.06562 Meter <-- Total Distance Traveled
(Calculation completed in 00.020 seconds)

Credits

Created by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
Dipto Mandal has created this Calculator and 25+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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3 Distance Calculators

Distance Traveled given Velocity
Go Distance Traveled = sqrt(Distance Traveled when Velocity becomes 0^2-Velocity^2/Angular Frequency^2)
Total Distance Traveled given Velocity and Angular Frequency
Go Total Distance Traveled = (Velocity^2)/(Angular Frequency^2)
Distance from Start given Restoring Force and Constant K
Go Distance Traveled = -Restoring Force/Spring Constant

Total Distance Traveled given Velocity and Angular Frequency Formula

Total Distance Traveled = (Velocity^2)/(Angular Frequency^2)
Dtotal = (v^2)/(ω^2)

What is SHM?

SHM is defined as a periodic motion of a point along a straight line, such that its acceleration is always toward a fixed point in that line and is proportional to its distance from that point.

How to Calculate Total Distance Traveled given Velocity and Angular Frequency?

Total Distance Traveled given Velocity and Angular Frequency calculator uses Total Distance Traveled = (Velocity^2)/(Angular Frequency^2) to calculate the Total Distance Traveled, Total Distance Traveled given Velocity and Angular Frequency is the difference of different distances traveled by the particle in SHM taking square respectively. Total Distance Traveled is denoted by Dtotal symbol.

How to calculate Total Distance Traveled given Velocity and Angular Frequency using this online calculator? To use this online calculator for Total Distance Traveled given Velocity and Angular Frequency, enter Velocity (v) & Angular Frequency (ω) and hit the calculate button. Here is how the Total Distance Traveled given Velocity and Angular Frequency calculation can be explained with given input values -> 34.06562 = (60^2)/(10.28^2).

FAQ

What is Total Distance Traveled given Velocity and Angular Frequency?
Total Distance Traveled given Velocity and Angular Frequency is the difference of different distances traveled by the particle in SHM taking square respectively and is represented as Dtotal = (v^2)/(ω^2) or Total Distance Traveled = (Velocity^2)/(Angular Frequency^2). Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time & Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
How to calculate Total Distance Traveled given Velocity and Angular Frequency?
Total Distance Traveled given Velocity and Angular Frequency is the difference of different distances traveled by the particle in SHM taking square respectively is calculated using Total Distance Traveled = (Velocity^2)/(Angular Frequency^2). To calculate Total Distance Traveled given Velocity and Angular Frequency, you need Velocity (v) & Angular Frequency (ω). With our tool, you need to enter the respective value for Velocity & Angular Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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