How do I calculate the height on a ramp for a rolling ball?

  • Thread starter Thread starter sportsnh
  • Start date Start date
  • Tags Tags
    Height
AI Thread Summary
To calculate the height of the ramp for a rolling ball, use trigonometric relationships involving the ramp's angle. The distance the ball travels up the ramp is known to be 0.132 meters. By applying the sine function, where height equals the distance up the ramp multiplied by the sine of the ramp's angle (35 degrees), the height can be determined. This approach simplifies the problem by relating the height to the ramp's distance as part of a right triangle. The correct application of these trigonometric principles will yield the desired height above the ground.
sportsnh
Messages
7
Reaction score
0
I am confused as to how i solve for height in this problem. I can solve for the distance up the ramp the ball goes but not for the height above the ground.

The problem states: A steel ball has a mass of 45 grams and a diameter of 2.2 cm. The ball is moving and rolling at an initial velocity (not known) when it starts rolling up a 35 degree ramp and comes to a stop after turning 12 revolutions.

I solved for how far up the ramp the ball went by taking the 12 rev *2π rad * .011m /1 rev / 2π rad and got .132m.

I have looked at all the equations that i have but can't figure out how to solve for how high the ball goes up?
 
Physics news on Phys.org
right triangles

You have the angle of the ramp. Consider it as a right triangle--what trig relationships might relate height to distance up the ramp (which is the hypotenuse)?
 
thanks...i knew it was something very simple that i was missing
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

A ball climbing a ramp while "rolling the wrong way"
Replies
32
Views
3K
Calculate angular velocity of a ball rolling down incline?
Replies
6
Views
5K
Ball rolling up a ramp with friction -- Find max height (Unsolved)
Replies
33
Views
8K
Calculating Acceleration of a Ball Rolling Down a Slope
Replies
5
Views
2K
How to find distance when a ball rolls slope with angle?
Replies
1
Views
1K
If a steel ball were to fall, how far away would it land
Replies
12
Views
2K
Direction of a rope with a ball inside an accelerating box
Replies
5
Views
2K
How Does Angular Momentum Affect a Ball Rolling Up an Incline?
Replies
29
Views
23K
Maximum Height of Ball on U-Shaped Ramp
Replies
17
Views
2K
Height to which rolling ball rises on a surface
Replies
12
Views
2K

Hot Threads

Recent Insights

Back
Top