A value of the acceleration of free fail g was determined by measuring the period of oscillation T of a simple pendulum of length l. The relation between g, T and l is given by: g=4π (l/T^2 ) In the experiment, l was measured as 0.55±0.02 m and T was measured as 1.50±0.02 s. Find the: i. Value of g [2] ii. Uncertainty in the valu

A value of the acceleration of free fail g was determined by measuring the period of oscillation T of a simple pendulum of length l. The relation between g, T and l is given by: g=4π (l/T^2 ) In the experiment, l was measured as 0.55±0.02 m and T was measured as 1.50±0.02 s. Find the: i. Value of g [2] ii. Uncertainty in the valu

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 83AP: A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of...

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A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the percent uncertainty in the elapsed time. (C) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?
(a) A person's blood pressure is measured to be 1202 mm Hg. What is its percent uncertainty? (b) Assuming the same percent uncertainty, what is the uncertainty in a blood pressure measurement of 80 mm Hg?
(a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (c) Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?
1. a). A value of the acceleration of free fail g was determined by measuring the periodof oscillation T of a simple pendulum of length l. The relation between g, T andl is given by: g= 4π (l /T2) In the experiment, l was measured as 0.55±0.02 m and T was measured as1.50±0.02 s. Find the:i. Value of gii. Uncertainty in the value of g B. (a) State newton’s second law of motion and write an equation.(b)Define the term INERTIA. (c) Define impulse and write the equation.
QUESTION 5 1-The following equation refers to V-pendulum experiment: Y=-14X+15 and T4 Tª = (4лª L k/ g² )–(8 µªL / g² )d, where : TU L: length of the string (2 meters). T: pendulum periodic time d: distance between rods k: pendulum constant g: gravitational acceleration find the periodic time (T) if the distance equal (1) meter. 2.01 s 0.9 S 1.17 s 1 s
E) A student performs the experiment and measures the distance between photogates: d = 50 ±0.1 cm, the times measured by photogates: to = length: s = 10 +0.05 cm. Find the acceleration a of the cart and estimate the uncertainty in a. 0.052 + 0.001s and ti = 0.035 + 0.001 s, and the cart's A The stut
( Photos 1:33 PM Tue 28 Sep © 90% Pre-Lab Unit 1 Pendulum Week 2 AA 1 of 2 PRE-LAB Unit 1 Pendulum for Pros Week 2 Consider four scenarios where measurements of two quantities are made. Curves displaying the distribution associated with each measurement and its uncertainty are displayed below for each of the four scenarios. 1. Scenario 1 Scenario 2 X = 20 8 = 5 x = 70 8 = 15 x = 20 |8 = 5 x = 70 8 = 5 20 40 60 80 100 20 40 60 80 100 Scenario 3 Scenario 4 x = 35 8=5 : X = 35 8 =10 X= 45 8 = 10 x= 45 8 = 5 20 40 60 80 100 20 40 60 80 100 Rank the scenarios on the basis of how confident you are that the two measurements are different. On what basis was your ranking made? What feature(s) of the two curves was assessed to arrive at your ranking? 2. Ten measurements are taken resulting in a standard deviation o of 0.10 s. а. Determine the uncertainty in the measurement.
We might assume that the period of a simple pendulum depends on the mass M, the length l of the string and g the acceleration due to gravity, i.e T is directly proportional to m l g. Consider the dimensions of the quantities involved to deduce the values of alpha, beta, gamma hence show that T is directly proportional to √l/g
1. A pyramid has a square base of side x and height h. The volume V of the pyramid is given by the expression: x²h V = 3 If V is measured the relative uncertainty of V is 5% and 3%, what is the percentage uncertainty of x? Remember to include the % symbol with your answer. 2-A rock is thrown to the top of a mountain of height h with an initial speed 42.0 m /s and an angle 0 = 60.0 ° with the horizontal. The stone falls at point A, 5.50 s after launch. Determine (a) the height h of the mountain, (51.8) (b) the resultant speed of the stone just before the impact on A and (27.4) (c) the maximum height H reached above the ground. (67.34) H 3- A race car driver travelling at 15 m/s accelerates at a constant value for 10 s. She is now driving at a speed of 35 m/s . What was her acceleration? Give your answer in m/s² to one significant figure. (2 m/s?)
Each measurement we take has a level of uncertainty in it. The smaller the uncertainty, the larger the precision our measurement has. Let's revisit how one might go about estimating the uncertainty in a measurement. If we assume our instrument is properly calibrated and we are not introducing systematic error through improper techniques, then if we take enough measurements, the average of these measurements will be around the true value. The upper and lower bounds of these measurements would then give us one method for determining our measuring device's uncertainty. (This of course is only true for a large set of measurements, but the approximation is good enough for now to get us started). For example, say we perform last week's experiment of pulling a block at a constant velocity with a force sensor across another rough surface. We take the following five measurements: F, = {2.51 N, 2.53 N, 2.50 N, 2.54 N, 2.49 N} The average of this dataset is F, = 2.51 N Now we have the choice of…
The period T of a simple pendulum is given by T = 2π p 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 = 4π 2L/T2 . Assume that the period is known to be T = 1.5 s with negligible uncertainty, and that L is measured to be 0.559 ± 0.005 m. Estimate g, and find the uncertainty in the estimate. Also, find the relative uncertainty. (Hint: If uncertainty for T is negligible, it can be treated as a constant, i.e. g = 4π 2L/1.5 2 .)
Given ρ , where m = 276.180 (0.020) g，D = 3.662 (0.005) cm，h = 12.180 (0.010) cm，which measurements of m, D and H has the greatest influence on the uncertainty of ρ? The measurement of D has the greatest influence on the uncertainty of ρ. Can't judge. The measurement of m has the greatest influence on the uncertainty of ρ. The measurement of h has the greatest influence on the uncertainty of ρ.