Angle of Inclination given Acceleration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inclination of Plane = asin((Mass of Left Body*[g]-Mass of Left Body*Acceleration of Body-Mass of Right Body*Acceleration of Body)/(Mass of Right Body*[g]))
θp = asin((m1*[g]-m1*as-m2*as)/(m2*[g]))
This formula uses 1 Constants, 2 Functions, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)
Variables Used
Inclination of Plane - (Measured in Radian) - The inclination of Plane is the angle a tilted ramp makes with the flat surface.
Mass of Left Body - (Measured in Kilogram) - Mass of Left Body is the measure of the quantity of matter that a body or an object contains.
Acceleration of Body - (Measured in Meter per Square Second) - Acceleration of Body is the rate of change in velocity to the change in time.
Mass of Right Body - (Measured in Kilogram) - Mass of Right Body is the measure of the quantity of matter that a body or an object contains.
STEP 1: Convert Input(s) to Base Unit
Mass of Left Body: 29 Kilogram --> 29 Kilogram No Conversion Required
Acceleration of Body: 5.94 Meter per Square Second --> 5.94 Meter per Square Second No Conversion Required
Mass of Right Body: 13.52 Kilogram --> 13.52 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θp = asin((m1*[g]-m1*as-m2*as)/(m2*[g])) --> asin((29*[g]-29*5.94-13.52*5.94)/(13.52*[g]))
Evaluating ... ...
θp = 0.242392516176502
STEP 3: Convert Result to Output's Unit
0.242392516176502 Radian -->13.8880681624727 Degree (Check conversion here)
FINAL ANSWER
13.8880681624727 13.88807 Degree <-- Inclination of Plane
(Calculation completed in 00.004 seconds)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Amrita School of Engineering (ASE), Vallikavu
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4 Body Lying on Smooth Inclined Plane Calculators

Angle of Inclination given Acceleration
Go Inclination of Plane = asin((Mass of Left Body*[g]-Mass of Left Body*Acceleration of Body-Mass of Right Body*Acceleration of Body)/(Mass of Right Body*[g]))
Acceleration of System with Bodies One Hanging Free and Other Lying on Smooth Inclined Plane
Go Acceleration of Body = (Mass of Left Body-Mass of Right Body*sin(Inclination of Plane))/(Mass of Left Body+Mass of Right Body)*[g]
Angle of Inclination given Tension
Go Inclination of Plane = asin((Tension*(Mass of Left Body+Mass of Right Body))/(Mass of Left Body*Mass of Right Body*[g])-1)
Tension in String when One Body is Lying on Smooth Inclined Plane
Go Tension = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]*(1+sin(Inclination of Plane))

Angle of Inclination given Acceleration Formula

Inclination of Plane = asin((Mass of Left Body*[g]-Mass of Left Body*Acceleration of Body-Mass of Right Body*Acceleration of Body)/(Mass of Right Body*[g]))
θp = asin((m1*[g]-m1*as-m2*as)/(m2*[g]))

Do inclined planes reduce work?

Using an inclined plane makes it easier to move an object. It takes less force to move an object in an upward direction on an inclined plane than it does to lift the object straight up.

How to Calculate Angle of Inclination given Acceleration?

Angle of Inclination given Acceleration calculator uses Inclination of Plane = asin((Mass of Left Body*[g]-Mass of Left Body*Acceleration of Body-Mass of Right Body*Acceleration of Body)/(Mass of Right Body*[g])) to calculate the Inclination of Plane, The Angle of inclination given acceleration of the system is the function of the masses of both bodies. Inclination of Plane is denoted by θp symbol.

How to calculate Angle of Inclination given Acceleration using this online calculator? To use this online calculator for Angle of Inclination given Acceleration, enter Mass of Left Body (m1), Acceleration of Body (as) & Mass of Right Body (m2) and hit the calculate button. Here is how the Angle of Inclination given Acceleration calculation can be explained with given input values -> 795.7277 = asin((29*[g]-29*5.94-13.52*5.94)/(13.52*[g])).

FAQ

What is Angle of Inclination given Acceleration?
The Angle of inclination given acceleration of the system is the function of the masses of both bodies and is represented as θp = asin((m1*[g]-m1*as-m2*as)/(m2*[g])) or Inclination of Plane = asin((Mass of Left Body*[g]-Mass of Left Body*Acceleration of Body-Mass of Right Body*Acceleration of Body)/(Mass of Right Body*[g])). Mass of Left Body is the measure of the quantity of matter that a body or an object contains, Acceleration of Body is the rate of change in velocity to the change in time & Mass of Right Body is the measure of the quantity of matter that a body or an object contains.
How to calculate Angle of Inclination given Acceleration?
The Angle of inclination given acceleration of the system is the function of the masses of both bodies is calculated using Inclination of Plane = asin((Mass of Left Body*[g]-Mass of Left Body*Acceleration of Body-Mass of Right Body*Acceleration of Body)/(Mass of Right Body*[g])). To calculate Angle of Inclination given Acceleration, you need Mass of Left Body (m1), Acceleration of Body (as) & Mass of Right Body (m2). With our tool, you need to enter the respective value for Mass of Left Body, Acceleration of Body & Mass of Right Body 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 Inclination of Plane?
In this formula, Inclination of Plane uses Mass of Left Body, Acceleration of Body & Mass of Right Body. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Inclination of Plane = asin((Tension*(Mass of Left Body+Mass of Right Body))/(Mass of Left Body*Mass of Right Body*[g])-1)
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