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Does the angle of incline depend on the acceleration of gravity?
Wiki User
∙ 10y ago
The only force acting on the object (let's say a cart) that is released at a certain inclination (30 degrees) is gravity.
If we follow the formulas:
Fgx=mgSinO
Fnet=ma
Fgx=Fnet
Therefore:
mgSinO=ma
and you can simplify this formula to: gSinO=a
m= mass
g= gravitational force (9.8m/s^2)
SinO= sin of angle (Sin30 degrees)
a=acceleration
Wiki User
∙ 11y ago
Wiki User
∙ 10y agoNo. Each is independent of the the other. However actual acceleration a in a given
direction is dependent solely on ramp angle i.e. a= g x cosin(theta). Note that one
is assuming a constant acceleration due to gravity (g).
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How do you find force on frictionless inclined planed?
You will need angle of inclination and observe the object motion. Force pushing object up inclined plane is force act against gravity, if the object move at acceleration then the force is more than gravity. You will need to transform distance travel to height using trigonometry from known angle of inclination and calculate acceleration against direction of gravity. Add this extra acceleration to gravity and time the mass you get the force. So I was just wondering if you could expand on that or tell me an equation that if I only know the angle, the acceleration that they are pushing the block up at , the force of gravity which most people know (9.81 m/s2) and the mass of the block then i could get kinetic force thx Additional comment 1. Gravity pull down that is mg and incline at angle A 2. Force is on direction of incline plane and against gravity at mg sin(A) 3. At additional acceleration in direction of incline plane e.g. a this excess force is m.a 4. Net force input is m(a+g.sin(A)) if no acceleration observe then it mean a = 0 Thanks
How does an inclined plane reduce the amount of input force needed?
Because the force of gravity is no longer straight down on the object, it is at an angle. thus when you have a ramp some of the force due to gravity is dispersed in the x plane, causing the force down on the y plane (vertical) due to gravity ( mass x gravity) to be less thus decreasing the amount of force needed to lift.
Example of acceleration due to gravity?
A long shallow incline (the longer and shallower the better)a ballan accurate timing device, stop watch will domarking pencil or something else that is easy to clean-up after yourselfa protractoran accurate means of measuring distanceLet the ball roll down the incline under the influence of gravity onlytime the descent and mark the location of the ball at regular time intervals.Measure the angle of the incline against the horizontal with the protractor.the distance the ball travels down the incline should follow the relationshipx = x0 +V0t +1/2 At2if x0 is set to 0 and V0 is 0 then the relationship simplifies tox= 1/2At2Using the data collected for t at all intervals it should be easy to calculate the value of A2x/t2 = AThis A is the acceleration down the incline. To get the vertical value of gravity multiply A by the sine of the angle of the incline.This is Galileo's experiment for determining g.
What is work done by gravity if object thrown at certain angle to ground moved a curved path n falls back to the ground initial and final position of objects path lie on the same horizontal line?
It depends on the angle, the speed of the throw, and the mass of the object.Surprisingly, it doesn't depend on the acceleration of gravity.' A ' is the angle of the throw above horizontal' V ' is the speed of the throw' M ' is the mass of the objectThe work done by gravity is:1/2 M [ V sin(A) ]2
A block is at rest on an incline The force of friction necessary to prevent the block from sliding increases when the incline angle is?
increased
Why does the acceleration of an object rolled down an incline increase as the angle of incline increases?
The contribution of the acceleration of gravity in the direction of motion increases as the angle of the incline increases. Or in other words, as the angle between the direction of motion and the force of gravity goes to zero, the acceleration of the object goes to the gravitational acceleration. a = g cos(theta) Where theta is the angle between the direction of motion and verticle, which is in fact (theta = 90 - angle of the incline)Where a is the acceleration of the object down the incline plane and g is the acceleration due to gravity. Theta is the angle between the direction of motion of the accelerating object and the acceleration of gravity. Initially, the angle between a and g is 90 degrees (no incline) and therefore g contributes nothing to the objects acceleration. a = g cos(90) = 0 As the angle of the inclined is increased, the angle between a and g approaches zero, at which point a = g. With no other forces acting upon the object, g is its maximum acceleration.
What wound your bathroom scale read if you weighted yourself on an inclined plane?
Your mass times the acceleration due to gravity times the sine of the angle of the incline
How do you find force on frictionless inclined planed?
You will need angle of inclination and observe the object motion. Force pushing object up inclined plane is force act against gravity, if the object move at acceleration then the force is more than gravity. You will need to transform distance travel to height using trigonometry from known angle of inclination and calculate acceleration against direction of gravity. Add this extra acceleration to gravity and time the mass you get the force. So I was just wondering if you could expand on that or tell me an equation that if I only know the angle, the acceleration that they are pushing the block up at , the force of gravity which most people know (9.81 m/s2) and the mass of the block then i could get kinetic force thx Additional comment 1. Gravity pull down that is mg and incline at angle A 2. Force is on direction of incline plane and against gravity at mg sin(A) 3. At additional acceleration in direction of incline plane e.g. a this excess force is m.a 4. Net force input is m(a+g.sin(A)) if no acceleration observe then it mean a = 0 Thanks
Discuss the validity of extrapolating the acceleration value to an angle of 90?
Extrapolate the experimental values of acceleration, vs. angle of the incline, to find the acceleration when the angle of inclination = 90 degrees. The acceleration at 90 degrees will equal 9.81 m/s/s, since this is the free-fall acceleration.
What is the acceleration of an object effected by gravity thrown at a 45 degree angle above the horiziontal at its highest point?
The only force acting on a projectile once launched is gravity. So the acceleration of any object launched at any angle is the acceleration due to gravity, -9.8m/s2.
The angle of an incline equals what angle?
It equals the arctangent of the gradient of the incline.
How does an inclined plane reduce the amount of input force needed?
Because the force of gravity is no longer straight down on the object, it is at an angle. thus when you have a ramp some of the force due to gravity is dispersed in the x plane, causing the force down on the y plane (vertical) due to gravity ( mass x gravity) to be less thus decreasing the amount of force needed to lift.
What about the incline?
To incline is to turn or bend in a certain angle.
Would friction or air pressure affect how fast a ball rolls down a incline?
Yes it would. Speed will depend on Weight of the ball, Incline angle, Friction, and air pressure.
How to measure the angle of incline of a slope?
The slope is the rise/run.And then angle of incline = arctan(slope).
What are the fomulas for incline plane?
( Assuming mass of object on incline plane is in kilograms (kg) ) . Force pulling down incline on object (kilogram force) = object mass * sin (incline angle) . Force of object acting on and normal to incline (kilogram force) = object mass * cos (incline angle) . Mechanical Advantage = 1 / ( sin ( incline angle ) )
Can an object move backward on an inclined plane?
Yes, if the incline angle becomes great enough. > As the angle increases, the force on the object down the incline increases but the effective weight on the slope surface decreases. > When the object breaks away the angle of incline can be used to calculate the coefficient of friction between the two surfaces. > coefficient of friction = sine ( incline angle ) / cosine ( incline angle )
