Distance Traveled by Particle in SHM until Velocity becomes Zero Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distance Traveled when Velocity becomes 0 = sqrt((Velocity^2)/(Angular Frequency^2)+Distance Traveled^2)
D0 = sqrt((v^2)/(ω^2)+D^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 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.
Distance Traveled - (Measured in Meter) - Distance Traveled defines how much path an object has covered to reach its destination in a given period.
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)
Distance Traveled: 65 Meter --> 65 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D0 = sqrt((v^2)/(ω^2)+D^2) --> sqrt((60^2)/(10.28^2)+65^2)
Evaluating ... ...
D0 = 65.261517128782
STEP 3: Convert Result to Output's Unit
65.261517128782 Meter --> No Conversion Required
FINAL ANSWER
65.261517128782 65.26152 Meter <-- Distance Traveled when Velocity becomes 0
(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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10+ Simple Harmonic Motion(SHM) Calculators

Position of Particle in SHM
Go Position of a particle = Amplitude*sin(Angular Frequency*Time Period SHM+Phase Angle)
Distance Traveled by Particle in SHM until Velocity becomes Zero
Go Distance Traveled when Velocity becomes 0 = sqrt((Velocity^2)/(Angular Frequency^2)+Distance Traveled^2)
Velocity of Particle in SHM
Go Velocity = Angular Frequency*sqrt(Distance Traveled when Velocity becomes 0^2-Distance Traveled^2)
Square of Different Distances Traveled in SHM
Go Total Distance Traveled = Distance Traveled when Velocity becomes 0^2-Distance Traveled^2
Distance Traveled in SHM given Angular Frequency
Go Distance Traveled = Acceleration/(-Angular Frequency^2)
Acceleration in SHM given Angular Frequency
Go Acceleration = -Angular Frequency^2*Distance Traveled
Restoring Force in SHM
Go Restoring Force = Spring Constant*Distance Traveled
Angular Frequency in SHM
Go Angular Frequency = (2*pi)/Time Period SHM
Time Period of SHM
Go Time Period SHM = (2*pi)/Angular Frequency
Frequency of SHM
Go Frequency = 1/Time Period SHM

Distance Traveled by Particle in SHM until Velocity becomes Zero Formula

Distance Traveled when Velocity becomes 0 = sqrt((Velocity^2)/(Angular Frequency^2)+Distance Traveled^2)
D0 = sqrt((v^2)/(ω^2)+D^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 by Particle in SHM until Velocity becomes Zero?

Distance Traveled by Particle in SHM until Velocity becomes Zero calculator uses Distance Traveled when Velocity becomes 0 = sqrt((Velocity^2)/(Angular Frequency^2)+Distance Traveled^2) to calculate the Distance Traveled when Velocity becomes 0, The Distance Traveled by Particle in SHM until Velocity becomes Zero formula is defined as the distance travelled by the particle from some velocity v to zero velocity. Distance Traveled when Velocity becomes 0 is denoted by D0 symbol.

How to calculate Distance Traveled by Particle in SHM until Velocity becomes Zero using this online calculator? To use this online calculator for Distance Traveled by Particle in SHM until Velocity becomes Zero, enter Velocity (v), Angular Frequency (ω) & Distance Traveled (D) and hit the calculate button. Here is how the Distance Traveled by Particle in SHM until Velocity becomes Zero calculation can be explained with given input values -> 65.26152 = sqrt((60^2)/(10.28^2)+65^2).

FAQ

What is Distance Traveled by Particle in SHM until Velocity becomes Zero?
The Distance Traveled by Particle in SHM until Velocity becomes Zero formula is defined as the distance travelled by the particle from some velocity v to zero velocity and is represented as D0 = sqrt((v^2)/(ω^2)+D^2) or Distance Traveled when Velocity becomes 0 = sqrt((Velocity^2)/(Angular Frequency^2)+Distance Traveled^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 & Distance Traveled defines how much path an object has covered to reach its destination in a given period.
How to calculate Distance Traveled by Particle in SHM until Velocity becomes Zero?
The Distance Traveled by Particle in SHM until Velocity becomes Zero formula is defined as the distance travelled by the particle from some velocity v to zero velocity is calculated using Distance Traveled when Velocity becomes 0 = sqrt((Velocity^2)/(Angular Frequency^2)+Distance Traveled^2). To calculate Distance Traveled by Particle in SHM until Velocity becomes Zero, you need Velocity (v), Angular Frequency (ω) & Distance Traveled (D). With our tool, you need to enter the respective value for Velocity, Angular Frequency & Distance Traveled 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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