Acceleration of an inclined plane?

AI Thread Summary
To achieve an acceleration of 0.5 m/s² on a 1.143-meter inclined plane without considering friction or weight, one can use the equation a = g * sin(theta), where g is 9.8 m/s². By rearranging this equation, the angle theta can be calculated to determine the necessary incline. The discussion emphasizes the importance of understanding the relationship between gravitational acceleration and the incline's angle. Trial and error may not be necessary if the correct calculations are applied. Proper use of the equation will provide the required angle for the desired acceleration.
iloveephysics
Messages
3
Reaction score
0
If I have a ramp that is 1.143 meters long, and I need to make it incline at a certain angle and height to make sure the acceleration is .5 m/s^2, how would I go about doing that without taking friction into account and without weighing anything?
 
Physics news on Phys.org
How might you find the component of the acceleration due to gravity parallel to the incline?
 
i am so lost on this, not sure if it's just trial and error or if I can use some type of equation
 
do i do a=gsin(theta) where g is 9.8
 
iloveephysics said:
do i do a=gsin(theta) where g is 9.8
Exactly.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top