Angle of Inclination of Plane with Body A Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g]))
αa = asin((ma*amb+T)/(ma*[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
Angle of Inclination with Body A - (Measured in Radian) - Angle of Inclination with Body A is the angle at which Body A is inclined with respect to the horizontal when connected to other bodies by strings.
Mass of Body A - (Measured in Kilogram) - Mass of Body A is the amount of matter in an object, a measure of its resistance to changes in its motion.
Acceleration of Body in Motion - (Measured in Meter per Square Second) - Acceleration of Body in Motion is the rate of change of velocity of an object moving in a circular path connected by strings.
Tension of String - (Measured in Newton) - Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.
STEP 1: Convert Input(s) to Base Unit
Mass of Body A: 29.1 Kilogram --> 29.1 Kilogram No Conversion Required
Acceleration of Body in Motion: 3.35 Meter per Square Second --> 3.35 Meter per Square Second No Conversion Required
Tension of String: 14.56 Newton --> 14.56 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
αa = asin((ma*amb+T)/(ma*[g])) --> asin((29.1*3.35+14.56)/(29.1*[g]))
Evaluating ... ...
αa = 0.403484907795628
STEP 3: Convert Result to Output's Unit
0.403484907795628 Radian -->23.117982313919 Degree (Check conversion ​here)
FINAL ANSWER
23.117982313919 23.11798 Degree <-- Angle of Inclination with Body A
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
Verifier Image
Verified by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has verified this Calculator and 300+ more calculators!

Body Lying on Smooth Inclined Plane Calculators

Acceleration of System with Bodies Connected by String and Lying on Smooth Inclined Planes
​ LaTeX ​ Go Acceleration of Body in Motion = (Mass of Body A*sin(Angle of Inclination with Body A)-Mass of Body B*sin(Angle of Inclination with Body B))/(Mass of Body A+Mass of Body B)*[g]
Tension in String if Both Bodies are Lying on Smooth Inclined Planes
​ LaTeX ​ Go Tension of String = (Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]*(sin(Inclination of Plane 1)+sin(Inclination of Plane 2))
Angle of Inclination of Plane with Body A
​ LaTeX ​ Go Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g]))
Angle of Inclination of Plane with Body B
​ LaTeX ​ Go Angle of Inclination with Body B = asin((Tension of String-Mass of Body B*Acceleration of Body in Motion)/(Mass of Body B*[g]))

Angle of Inclination of Plane with Body A Formula

​LaTeX ​Go
Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g]))
αa = asin((ma*amb+T)/(ma*[g]))

How is Static Friction is a self regulating Force?

The static frictional force is a self-regulating force because static friction will at all times be equivalent and opposite to the force applied.

How to Calculate Angle of Inclination of Plane with Body A?

Angle of Inclination of Plane with Body A calculator uses Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g])) to calculate the Angle of Inclination with Body A, Angle of Inclination of Plane with Body A formula is defined as a measure of the angle between the plane of body A and the horizontal plane, which is essential in understanding the orientation and stability of the body in various physical situations. Angle of Inclination with Body A is denoted by αa symbol.

How to calculate Angle of Inclination of Plane with Body A using this online calculator? To use this online calculator for Angle of Inclination of Plane with Body A, enter Mass of Body A (ma), Acceleration of Body in Motion (amb) & Tension of String (T) and hit the calculate button. Here is how the Angle of Inclination of Plane with Body A calculation can be explained with given input values -> 1324.563 = asin((29.1*3.35+14.56)/(29.1*[g])).

FAQ

What is Angle of Inclination of Plane with Body A?
Angle of Inclination of Plane with Body A formula is defined as a measure of the angle between the plane of body A and the horizontal plane, which is essential in understanding the orientation and stability of the body in various physical situations and is represented as αa = asin((ma*amb+T)/(ma*[g])) or Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g])). Mass of Body A is the amount of matter in an object, a measure of its resistance to changes in its motion, Acceleration of Body in Motion is the rate of change of velocity of an object moving in a circular path connected by strings & Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.
How to calculate Angle of Inclination of Plane with Body A?
Angle of Inclination of Plane with Body A formula is defined as a measure of the angle between the plane of body A and the horizontal plane, which is essential in understanding the orientation and stability of the body in various physical situations is calculated using Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g])). To calculate Angle of Inclination of Plane with Body A, you need Mass of Body A (ma), Acceleration of Body in Motion (amb) & Tension of String (T). With our tool, you need to enter the respective value for Mass of Body A, Acceleration of Body in Motion & Tension of String and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!