Use your measured accelerations for up and down the track to determine the coeff

Question

Use your measured accelerations for up and down the track to determine the coefficient of rolling friction for the wheeled cart in each situation. Average the two coefficients to find the average coefficient of rolling friction for the wheeled carts.

(this is the only info I have so hope it is sufficient enough?)

Linear Fit for: Latest Velocity                                                                      

V=mt+b                                                                                                                              

M (slope): 0.3847 m/s/s                                                                                               

B (Y-Intercept) -0.8592 m/s                                                                        

Correlation: 0.9976                                                                                         

RMSE: 0.01207 m/s                                                                                         

Linear Fit for Latest Velocity

v=mt+b

M (slope): 0.1650 m/s/s

B (Y Intercept) -0.3524 m/s

Correlation: 0.9989

RMSE: 0.006340 m/s

Explanation / Answer

For case 1,

V =mt+b

Given that,

m = 0.3847 , t = 3.436 and b = -0.8592

So, v = 0.3847*3.436-0.8592 = 0.4626 m/s

Acceleration, a = v/dt = 0.4626/2.75 = 0.168 m/s^2

Coefficient of rolling friction = F/N = ma/mg = a/g

= 0.168/9.8 = 0.0172

Similarly for case 2,

v = mt+b

Given that, m = 0.1650, t = 4.164 and b = -0.3524

So, v = 0.1650*4.164-0.3524

= 0.384 m/s

Acceleration = v/dt = 0.384/2.83 = 0.136 m/s^2

Now, coefficient of rolling friction = a/g = 0.136/9.8 = 0.0138

Average of rolling friction is given by,

fr = (0.0172+0.0138)/2 = 0.0155

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.