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Distance traveled in SHM given angular frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
distance_traveled = Acceleration/(-(Angular Frequency^2))
D = a/(-(W^2))
This formula uses 2 Variables
Variables Used
Acceleration - Acceleration is the rate of change in velocity to the change in time. (Measured in Meter per Square Second)
Angular Frequency - Angular Frequency of a steadily recurring phenomenon expressed in radians per second. (Measured in Revolution per Second)
STEP 1: Convert Input(s) to Base Unit
Acceleration: 5 Meter per Square Second --> 5 Meter per Square Second No Conversion Required
Angular Frequency: 1 Revolution per Second --> 1 Hertz (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = a/(-(W^2)) --> 5/(-(1^2))
Evaluating ... ...
D = -5
STEP 3: Convert Result to Output's Unit
-5 Meter --> No Conversion Required
FINAL ANSWER
-5 Meter <-- Distance Traveled
(Calculation completed in 00.015 seconds)

4 Distance Calculators

Distance traveled given velocity
distance_traveled = ((Distance traveled when Velocity becomes 0^2)-((Velocity^2)/(Angular Frequency^2)))^(1/2) Go
Distance traveled by particle in shm when velocity becomes zero
distance_traveled_a = (((Velocity^2)/(Angular Frequency^2))+Distance Traveled^2)^(1/2) Go
Distance traveled in SHM given angular frequency
distance_traveled = Acceleration/(-(Angular Frequency^2)) Go
Distance from start given restoring force and k
distance_traveled = -Restoring force/Constant K Go

Distance traveled in SHM given angular frequency Formula

distance_traveled = Acceleration/(-(Angular Frequency^2))
D = a/(-(W^2))

What is SHM?

SHM(simple harmonic motion) 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 in SHM given angular frequency?

Distance traveled in SHM given angular frequency calculator uses distance_traveled = Acceleration/(-(Angular Frequency^2)) to calculate the Distance Traveled, The distance traveled in SHM given angular frequency formula is defined as the total length of the path traveled between two positions. Distance traveled is not a vector. Specifically, if an object changes direction in its journey, the total distance traveled will be greater than the magnitude of the displacement between those two points. Distance Traveled and is denoted by D symbol.

How to calculate Distance traveled in SHM given angular frequency using this online calculator? To use this online calculator for Distance traveled in SHM given angular frequency, enter Acceleration (a) and Angular Frequency (W) and hit the calculate button. Here is how the Distance traveled in SHM given angular frequency calculation can be explained with given input values -> -5 = 5/(-(1^2)).

FAQ

What is Distance traveled in SHM given angular frequency?
The distance traveled in SHM given angular frequency formula is defined as the total length of the path traveled between two positions. Distance traveled is not a vector. Specifically, if an object changes direction in its journey, the total distance traveled will be greater than the magnitude of the displacement between those two points and is represented as D = a/(-(W^2)) or distance_traveled = Acceleration/(-(Angular Frequency^2)). Acceleration is the rate of change in velocity to the change in time and Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
How to calculate Distance traveled in SHM given angular frequency?
The distance traveled in SHM given angular frequency formula is defined as the total length of the path traveled between two positions. Distance traveled is not a vector. Specifically, if an object changes direction in its journey, the total distance traveled will be greater than the magnitude of the displacement between those two points is calculated using distance_traveled = Acceleration/(-(Angular Frequency^2)). To calculate Distance traveled in SHM given angular frequency, you need Acceleration (a) and Angular Frequency (W). With our tool, you need to enter the respective value for Acceleration and 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 Acceleration and Angular Frequency. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • distance_traveled = -Restoring force/Constant K
  • distance_traveled = ((Distance traveled when Velocity becomes 0^2)-((Velocity^2)/(Angular Frequency^2)))^(1/2)
  • distance_traveled_a = (((Velocity^2)/(Angular Frequency^2))+Distance Traveled^2)^(1/2)
  • distance_traveled = Acceleration/(-(Angular Frequency^2))
Where is the Distance traveled in SHM given angular frequency calculator used?
Among many, Distance traveled in SHM given angular frequency calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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