Q #1 (a) A bicycle rider races with a constant speed around acircular track25m i

Question

Q #1 (a) A bicycle rider races with a constant speed around acircular track25m in diameter. what is the acceleration of thebicycle toward the center of the track if the speed is 6.0m/s (b)At Six Flags Over Georgia near Atlanta, the Wheelie carriespassengers in a circular path with a radius of 7.7m. the ridermakes a complete rotation every 4.0s. (a) what is a passengersangular velocity due to the circular motion?(b) what accelerationdoes a passenger experience? (c) A stunt driver drives a car so fast that it leavesthe ground as it tops a hill. if the hill is approximated by a165m radius vertical circle, what speed must the car exeed toleave the ground at the top of the hill? Q #1 (a) A bicycle rider races with a constant speed around acircular track25m in diameter. what is the acceleration of thebicycle toward the center of the track if the speed is 6.0m/s (b)At Six Flags Over Georgia near Atlanta, the Wheelie carriespassengers in a circular path with a radius of 7.7m. the ridermakes a complete rotation every 4.0s. (a) what is a passengersangular velocity due to the circular motion?(b) what accelerationdoes a passenger experience? (c) A stunt driver drives a car so fast that it leavesthe ground as it tops a hill. if the hill is approximated by a165m radius vertical circle, what speed must the car exeed toleave the ground at the top of the hill?

Explanation / Answer

According to Cramster's policy, you should only be asking onecomplete question per post. So, I will answer onequestion. Concerning the bike rider going in circles: Use the equation F = mv2 / r. Since F = ma, we canre-write this as: ma = mv2 / r Divide both sides by m: a = v2 / r v = 6 m/s r = 25 / 2 = 12.5 m a = 6^2 / 12.5 a = 36 / 12.5 a = 2.88 m/s2 The other questions are unrelated to this one and should bementioned in a different thread.

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