Calculating the Height of Keystone's Ski Lift

  • Thread starter Thread starter phun4kay
  • Start date Start date
  • Tags Tags
    Height Lift
AI Thread Summary
The gondola ski lift at Keystone measures 2830 meters in length and rises at an angle of 14.6 degrees above the horizontal. To calculate the height of the ski lift, the cosine function is applied to find the vertical rise. The initial calculation involved using 2830 multiplied by the cosine of 14.6 degrees. The problem was ultimately resolved, indicating that the height was successfully determined. The discussion highlights the application of trigonometric functions in solving real-world problems related to ski lift elevations.
phun4kay
Messages
2
Reaction score
0

Homework Statement


The gondola ski lift at Keystone is 2830 m long. On average, the ski lift rises 14.6 above the horizontal. How high is the top of the ski lift relative to the house?

Homework Equations


The Attempt at a Solution


Drew the picture, did 2830cos(14.6)
but don't know what to do next.
 
Physics news on Phys.org
nevermind i got it.
 
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