Posted by **Billie** on Thursday, December 2, 2010 at 1:22pm.

An SUV is negotiating a horizontal unbanked turn. The radius of the turn is 20m, the center of gravity of the vehicle is 1m above the ground and in the middle between the left and right side. The seperation of teh left and right wheels is 1.8m

What is is the greatest speed at which the SUV can negotiate the turn without rolling over?

- physics -
**drwls**, Thursday, December 2, 2010 at 2:37pm
Consider the case where there is no force on the two wheels closest to the cetnter of the turn. Compute the speed at which that can happen by taking moments about the outer pair of wheels. Let the distance between right and left wheels be L = 1.8 m. The gravity torque M g L/2 must equal the centripetal torque

M V^2*h/R, where h = 1m is the height of the CM. M cancels out.

g L/2 = V^2 h/R

V = sqrt [R g L/(2h)

A wide wheelbase (L) and a low center of mass (h) helps prevent high speed flipping.

At higher values of V, dynamic equilbrium cannot be maintainewd.

## Answer this Question

## Related Questions

- physics - An SUV has a height h and a wheelbase of length b. Its center of mass ...
- Physics - A car is rounding an unbanked circular turn with a speed of v = 35 m/s...
- Physics - A turn of radius 20m is banked for the vehicles going at a speed of ...
- Physics - A car moves with a speed v on a horizontal circular highway turn of ...
- physics - A 950-kg race car can drive around an unbanked turn at a maximum speed...
- physics - A 870-kg race car can drive around an unbanked turn at a maximum speed...
- physics - A 850-kg race car can drive around an unbanked turn at a maximum speed...
- physics1 - A 850-kg race car can drive around an unbanked turn at a maximum ...
- PHYSICS - How do I solve this? A 700-kg race car can drive around an unbanked ...
- Physics - An 855-kg race car can drive around an unbanked turn at a maximum ...

More Related Questions