The period T of a simple pendulum is given by T=2π√L/g where L is the length of the pendulum and g is the acceleration due to gravity. Thus if L and T are measured, we can estimate g with g = 4π²L/T². Assume that the period is known to be T = 1.5s with negligible uncertainty, and that L is measured to be 0.559 ± 0.005 m. Estimate g, and find the uncertainty in the estimate.

Bob's cat Alice does wind sprints up and down the hallway of his apartment. Suppose that t minutes into her wind sprints, Alice's velocity (in ft/min) is given by the formula v(t) = 12 sin(). Homework Help a. What is Alice's acceleration at t = 6 minutes? b. What is Alice's displacement between t = 4 and t = 24? c. What is the total distance traveled by Alice between t = 2 and t = 8?

Automobile traffic passes a point P on a road of width w feet with an average rate of R vehicles per second. Although the arrival of automobiles is irregular, traffic engineers have found that the average waiting time T until there is a gap in traffic of at least 1 seconds is approximately T = te Riseconds. A pedestrian walking at a speed of 3.3 ft/s requires t =s to cross the road. Therefore, the average time the pedestrian will have to wait before crossing is f(w, R) = () WR/3.3 What is the pedestrian's average waiting time if w = 24 ft and R = 0.2 vehicle per second? (Use decimal notation. Give your answer to two decimal places.) (= Use the Linear Approximation to estimate the increase in waiting time if w is increased to 26 ft. (Use decimal notation. Give your answer to two decimal places.) Af = 31.15 t = Estimate the waiting time if the width is increased to 26 ft and R decreases to 0.18. (Use decimal notation. Give your answer to two decimal places.) 6.37 A = 32.48 Incorrect What…

The period T of a simple pendulum is given by T = 2π√L/g where L is the length of the pendulum and g is the acceleration due to gravity.a) Assume g = 9.80 m/s² exactly, and that L = 0.742 ± 0.005 m. Estimate T, and find the uncertainty in the estimate.b) Assume L = 0.742 m exactly, and that T = 1.73 ± 0.01 s. Estimate g, and find the uncertainty in the estimate.