Cliff_J said:
What? A truck of over 2500kg is going to be accelerated by some 30kg discs spinning at a few hundred RPM?
Yes. At no point in the thread have
I specified a magnitude for that acceleration.
Even with the mass concentrated soley around the circumference to maximize the moment of inertia of the wheel/tire, and using a sharp impulse to minimize the losses to friction, and applying the entire force as a straight vector and not a torque, it still seems extremely low.
Intuition? Intuitive solutions do
NOT work in this world. da willem laid out as good a quantitative recipe as is necessary. Plug in what ever numbers you wish.
Just not enough momentum to justify a 20% increase in velocity much less a 2%.
Yes, Mrs. Malaprops? (You meant to state the inverse?)
And this is rotation, the force is a vector torque and not a straight vector and would be applied to the vehicle as such.
You (and Gokul) wanted a description of the couple yielding a net force on the axle (vehicle), you got one.
Care to show the math for a 20% increase in velocity using what, a plastic collision as the model to transfer the tire's rotational momentum to the truck?
Angular momentum is conserved for "plastic" or
elastic collisions of wheel with brake shoe (vehicle frame --- how many more hints do you need?) --- that was an earlier challenge to da willem for "bringing his grade up to B" following his conservation of kinetic energy for the system.
Get cute and get cut, Cliff. This thread is the most beautiful demonstration of what's right and what's wrong with this forum --- what's right is some great questions show up; what's wrong is the threads develop like a game of Hollywood Squares with bullsh!t arguments based on friction, failures to realize that ω for the vehicle propshaft is the differential ratio times the
sum of the ωs for the wheels, intuition (if "I" can't see a mechanism for it, it can't happen) --- and, worst of all, the inability to back off from mistakes --- munky asked if it can happen (yes), magnitude he's heard is 20 % at 50 km/hr (da willem posted the mass ratio necessary), and I've postulated a separate "measuring" wheel driving an old fashioned hysteresis type speedometer (plenty of mass in the needle to overshoot) for the
indicated 8-10km/hr "step" increase in speed.