Distance Traveled given Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distance Traveled = sqrt(Distance Traveled when Velocity becomes 0^2-Velocity^2/Angular Frequency^2)
D = sqrt(D0^2-v^2/ω^2)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Distance Traveled - (Measured in Meter) - Distance Traveled defines how much path an object has covered to reach its destination in a given period.
Distance Traveled when Velocity becomes 0 - (Measured in Meter) - Distance Traveled when Velocity becomes 0 is the distance traveled by the particle when the particle loses all its energy and comes to rest after a particular amount of distance is covered.
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
Distance Traveled when Velocity becomes 0: 70 Meter --> 70 Meter No Conversion Required
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
D = sqrt(D0^2-v^2/ω^2) --> sqrt(70^2-60^2/10.28^2)
Evaluating ... ...
D = 69.7562497705381
STEP 3: Convert Result to Output's Unit
69.7562497705381 Meter --> No Conversion Required
FINAL ANSWER
69.7562497705381 69.75625 Meter <-- Distance Traveled
(Calculation completed in 00.004 seconds)

Credits

Created by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
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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

Distance Traveled given Velocity Formula

Distance Traveled = sqrt(Distance Traveled when Velocity becomes 0^2-Velocity^2/Angular Frequency^2)
D = sqrt(D0^2-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 Distance Traveled given Velocity?

Distance Traveled given Velocity calculator uses Distance Traveled = sqrt(Distance Traveled when Velocity becomes 0^2-Velocity^2/Angular Frequency^2) to calculate the Distance Traveled, The Distance Traveled given Velocity formula is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point. Distance Traveled is denoted by D symbol.

How to calculate Distance Traveled given Velocity using this online calculator? To use this online calculator for Distance Traveled given Velocity, enter Distance Traveled when Velocity becomes 0 (D0), Velocity (v) & Angular Frequency (ω) and hit the calculate button. Here is how the Distance Traveled given Velocity calculation can be explained with given input values -> 69.75625 = sqrt(70^2-60^2/10.28^2).

FAQ

What is Distance Traveled given Velocity?
The Distance Traveled given Velocity formula is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point and is represented as D = sqrt(D0^2-v^2/ω^2) or Distance Traveled = sqrt(Distance Traveled when Velocity becomes 0^2-Velocity^2/Angular Frequency^2). Distance Traveled when Velocity becomes 0 is the distance traveled by the particle when the particle loses all its energy and comes to rest after a particular amount of distance is covered, 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 Distance Traveled given Velocity?
The Distance Traveled given Velocity formula is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point is calculated using Distance Traveled = sqrt(Distance Traveled when Velocity becomes 0^2-Velocity^2/Angular Frequency^2). To calculate Distance Traveled given Velocity, you need Distance Traveled when Velocity becomes 0 (D0), Velocity (v) & Angular Frequency (ω). With our tool, you need to enter the respective value for Distance Traveled when Velocity becomes 0, Velocity & Angular Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Distance Traveled?
In this formula, Distance Traveled uses Distance Traveled when Velocity becomes 0, Velocity & Angular Frequency. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Distance Traveled = -Restoring Force/Spring Constant
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