How To Find Maximum Velocity
The image in a higher place represents maximum velocity in circular motion.
To compute for the maximum velocity, 3 essential parameters are needed and these parameters are coefficient of friction (μ), radius (r) and acceleration due to gravity (m).
The formula for calculating maximum velocity:
Vmax = √(μgr)
Where;
Fivemax = maximum velocity
μ = coefficient of friction
r = radius
m = acceleration due to gravity
Let'south solve an example;
Find the maximum velocity when the coefficient of friction is 14 with a radius of seven and acceleration due to gravity of 9.8.
This implies that;
μ = coefficient of friction = fourteen
r = radius = 7
yard = acceleration due to gravity = 9.eight
Vmax = √(μgr)
5max = √(14 10 seven x 9.viii)
Vmax = √(960.forty)
5max = 30.99
Therefore, the maximum velocity is 30.99 k/due south.
Calculating the Coefficient of Friction when the Maximum Velocity, Radius and Dispatch due to Gravity is Given.
μ = Vmax 2 / gr
Where;
μ = coefficient of friction
5max = maximum velocity
r = radius
chiliad = acceleration due to gravity
Permit's solve an example;
Find the coefficient of friction with a maximum velocity of 120, radius of 15 and dispatch due to gravity is 9.viii?
This implies that;
Vmax = maximum velocity = 120
r = radius = xv
g = dispatch due to gravity = ix.eight
μ = 5max two / gr
μ = 120two / 15 x nine.8
μ = 14400 / 147
μ = 97.96
Therefore, the coefficient of friction is 97.96.
Calculating the Radius when the Maximum Velocity, Coefficient of Friction and Dispatch due to Gravity is Given.
r = 5max 2 / gμ
Where;
r = radius
Vmax = maximum velocity
μ = coefficient of friction
g = acceleration due to gravity
Let's solve an example;
Find the radius with a maximum velocity of 90, coefficient of friction of 24 and dispatch due to gravity is 9.8?
This implies that;
Vmax = maximum velocity = xc
μ = coefficient of friction = 24
g = acceleration due to gravity = 9.8
r = Vmax 2 / gμ
r = 902 / ix.8 10 24
r = 8100 / 235.2
r = 34.44
Therefore, the radius is 34.44.
Nickzom Figurer –The Calculator Encyclopedia is capable of calculating the maximum velocity.
To get the answer and workings of the maximum velocity using the Nickzom Calculator – The Calculator Encyclopedia.First, you demand to obtain the app.
Y'all can get this app via any of these means:
Spider web – https://www.nickzom.org/calculator-plus
To get access to theprofessionalversion via web, you need toregister andsubscribefor NGN 1,500per annum to have utter access to all functionalities.
You lot can also try thedemoversion via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/shop/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple tree.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you take obtained the calculator encyclopedia app, continue to theComputer Map,then click onMechanicsunderEngineering science
Now, Click onMotion of Circular PathnetherMechanics
Click on Maximum Velocity underMotion of Circular Path
The screenshot below displays the folio or activeness to enter your value, to get the answer for the maximum velocity according to the respective parameter which are the coefficient of friction (μ), radius (r) and acceleration due to gravity (g) .
Now, enter the value appropriately and accordingly for the parameter as required past the coefficient of friction (μ) is 14, radius (r) is 7 and acceleration due to gravity (1000)is9.8.
Finally, Click on Calculate
As you tin can see from the screenshot above,Nickzom Computer – The Figurer Encyclopedia solves for the maximum velocity and presents the formula, workings and steps too.
How To Find Maximum Velocity,
Source: https://www.nickzom.org/blog/2019/04/05/how-to-calculate-and-solve-for-maximum-velocity-coefficient-of-friction-and-radius-of-a-body-in-motion-of-circular-path-nickzom-calculator/
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