Estimate P, and find the relative uncertainty in the estimate.
1. Refer to Exercise 10 in Section 3.2. Assume that τ = 35.2 ± 0.1 Pa, h = 12.0 ± 0.3 mm, and μ = 1.49 Pa · s with negligible uncertainty. Estimate V, and find the relative uncertainty in the estimate. 2. Refer to Exercise 5. Assume that P1 = 15.3 ± […]
Estimate R, and find the relative uncertainty in the estimate.
1. Refer to Exercise 12. Estimate n, and find the relative uncertainty in the estimate, from the following measurements: θ1 = 0.216 ± 0.003 radians and θ2 = 0.456 ± 0.005 radians. 2. Refer to Exercise 14. Assume that l = 10.0 cm ± 0.5% and d = 10.4 cm ± 0.5%. a. […]
Estimate S, and find the relative uncertainty in the estimate.
1. Refer to Exercise 16. Assume that T0 = 73.1 ± 0.1°F, Ta = 37.5 ± 0.2°F, k = 0.032 min −1 with negligible uncertainty, and T = 50°F exactly. Estimate t, and find the relative uncertainty in the estimate. 2. Refer to Exercise 19. Assume that for a certain bacterium, r = 0.8 […]
Find the relative uncertainty in the estimated rate of increase.
1. Refer to Exercise 5. Assume that the relative uncertainty in P1 is 5% and the relative uncertainty in P2 is 2%. Find the relative uncertainty in P3. 2. Refer to Exercise 14. Assume that the relative uncertainty in l is 3% and that the relative uncertainty in d is 2%. Find the relative […]
Find the relative uncertainty in the estimated proportion.
1. The Darcy–Weisbach equation states that the power-generating capacity in a hydroelectric system that is lost due to head loss is given by P = ηγQH, where η is the efficiency of the turbine, γ is the specific gravity of water, Q is the flow rate, and H is the head loss. Assume that η […]