![]() ![]() The deceleration is caused by the torque (symbol tau) due to friction. I don’t have the time to analyze the video, but if you do, determine how fast the wheel is deceleration (formally called alpha). Likewise, you can predict the total rotations it will take to stop. The kinematics for rotation are similar to that of translation, so if you know the initial angular speed, the angular acceleration and the time elapsed, you can predict the final angular speed. The inertia for rotation of a wheel is (1/2) m r^2. Drew’s height is 5’10” so I’d guess the wheel is a radius of about 5 ft (~1.5 m). You’d know how many squares it moves, and then you could easily figure out what square that is from the original square.įrom wikipedia, the mass of the big wheel is 2 short tons (3600 lbs -> ~1600 kg). It’s just a matter of popping it in and solving for v_f = 0Īnd then divide d_f by the length of a square. Now, obviously I’m assuming constant deceleration, etc, but I think that’s a reasonable relaxation of the problem. ![]() (we can sort out d by taking the number of beeps and multiplying them by the length of a single square.) After a few calculations times through, you could sort out the average deceleration (a), in a similar fashion to how we can calculate g in first year physics. ![]() “It seems equivalent to dropping a ball from a bridge and finding out how long it will take till it hits the ground”Īctually, to me it’s more equivalent to throwing a ball up in the air and seeing when it changes direction.īasically, the wheel is constantly decelerating, and you have the initial speed v_i from the first 2 beeps (the distance of one block / t_1, t_i = the time between beeps i, and i+1). ![]()
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