EBK PHYSICS
5th Edition
ISBN: 8220103026918
Author: Walker
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 1, Problem 56GP
The period T of a simple pendulum is the amount of time required for it to undergo one complete oscillation. If the length of the pendulum is L and the acceleration of gravity is g, then T is given by T = 2πLpgp. Find the powers p and q required for dimensions consistency.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The period T of a simple pendulum is the amount of time required for it to undergo one complete oscillation. If the length of the pendulum is L� and the acceleration of gravity is gg, then T� is given by
T=2πLpgq
Find the powers p� and q� required for dimensional consistency.
Enter your answers numerically separated by a comma.
Physical units in mechanics are usually some combination of the dimensions time T, mass M, and length L. Consider the
physical quantities m, r, u, a, and t with dimensions [m] = M, [r] = L, [u] = LT-, [a] = LT-2, and [1] = T.
Enter the dimensional expression of the quantity on the right-hand side of each equation. Your answers may contain only M, L,
T, and exponents.
Assume that each of the following equations is dimensionally consistent.
Lo = mur
[Lo] =
W = mar
[W] =
T
A fundamental law of motion states that the acceleration of an object is directly proportional to the resultant force exerted on the object and inversely proportional to its mass. If the proportionality constant is defined to have no dimensions, determine the dimensions of force. (Use the following as necessary: M, L, and T.)
What is force?
The newton is the SI unit of force. According to the results for (a), how can you express a force having units of newtons using the fundamental units of mass, length, and time? (Use the following units as necessary: kg, m, and s.)
Chapter 1 Solutions
EBK PHYSICS
Ch. 1.1 - The laws of physics apply to which of the...Ch. 1.2 - Rank the following lengths (A, B, C, and D) in...Ch. 1.3 - Give the dimensions of each of the following...Ch. 1.4 - Rank the following numbers in order of increasing...Ch. 1.5 - To convert a length of 6 ft to its equivalent in...Ch. 1.6 - Give an order-of-magnitude estimate for the speed...Ch. 1.7 - (a) Can two cars have the same speed but different...Ch. 1 - Can dimensional analysis determine whether the...Ch. 1 - If a distance d has units of meters, and a time T...Ch. 1 - Is it possible for two quantities to (a) have the...
Ch. 1 - The frequency of a pendulum is the number of...Ch. 1 - Albert runs 34 m to the right in 10 s. Isaac runs...Ch. 1 - Give an order-of-magnitude estimate for the time...Ch. 1 - Give an order-of-magnitude estimate for the length...Ch. 1 - The Hunger Games The movie The Hunger Games...Ch. 1 - BIO The Thickness of Hair A human hair has a...Ch. 1 - The speed of light in a vacuum is approximately...Ch. 1 - A Fast Computer IBM has a computer it calls the...Ch. 1 - Which of the following equations are dimensionally...Ch. 1 - Which of the following quantities have the...Ch. 1 - Which of the following quantities have the...Ch. 1 - Which of the following quantities have the...Ch. 1 - Velocity is related to acceleration and distance...Ch. 1 - Acceleration is related to distance and time by...Ch. 1 - The time t required for an object to fall from...Ch. 1 - Newtons second law (to be discussed in Chapter 5)...Ch. 1 - The time T required for one complete oscillation...Ch. 1 - The speed of light to five significant figures is...Ch. 1 - A parking lot is 124.3 m long and 41.06 m wide....Ch. 1 - On a fishing trip you catch a 2.77-lb bass, a...Ch. 1 - How many significant figures are there in (a)...Ch. 1 - What is the area of a circle of radius (a) 11.37 m...Ch. 1 - The first several digits of , the ratio of the...Ch. 1 - Rank the following speeds in order of increasing...Ch. 1 - The Ark of the Covenant is described as a chest of...Ch. 1 - A car drives on a highway with a speed of 68 mi/h....Ch. 1 - Angel Falls Water going over Angel Falls, in...Ch. 1 - An electronic advertising sign repeats a message...Ch. 1 - BIO Blue Whales The blue whale (Balaenoptera...Ch. 1 - The Star of Africa The Star of Africa, a diamond...Ch. 1 - BIO Woodpecker Impact When red-headed woodpeckers...Ch. 1 - Predict/Calculate Many highways have a speed limit...Ch. 1 - BIO Mantis Shrimp Peacock mantis shrimps...Ch. 1 - A Jiffy The American physical chemist Gilbert...Ch. 1 - The Mutchkin and the Noggin (a) A mutchkin is a...Ch. 1 - Suppose 1.0 cubic meter of oil is spilled into the...Ch. 1 - The acceleration of gravity is approximately 9.81...Ch. 1 - BIO Squid Nerve Impulses Nerve impulses in giant...Ch. 1 - Give a ballpark estimate of the number of seats in...Ch. 1 - Estimate the speed at which your hair grows. Give...Ch. 1 - Milk is often sold by the gallon in plastic...Ch. 1 - New York is roughly 3000 miles from Seattle. When...Ch. 1 - Which of the following equations are dimensionally...Ch. 1 - Which of the following quantities have the...Ch. 1 - Prob. 41GPCh. 1 - Glacial Speed On June 9, 1983, the lower part of...Ch. 1 - One liter of pure gold weighs 42.5 lb. If you...Ch. 1 - What is the speed in miles per second or a beam or...Ch. 1 - BIO Rattlesnake Frequency A timber rattlesnake...Ch. 1 - BIO A single human red blood cell has a mass of...Ch. 1 - BIO Com Growth Sweet corn plants can grow 4.1 cm...Ch. 1 - BIO Mosquito Courtship Male mosquitoes in the mood...Ch. 1 - Predict/Calcuiate A Porsche sports car can...Ch. 1 - A Speeding Bullet The fastest commercially...Ch. 1 - BIO Human Nerve Fibers Type A nerve fibers in...Ch. 1 - Bio Brain Growth The mass of a newborn baby's...Ch. 1 - The Huygens Probe MASAs Cassini mission to Saturn...Ch. 1 - BIO Spin-Dry Dragonflies Some dragonflies are...Ch. 1 - Acceleration is related to velocity and time by...Ch. 1 - The period T of a simple pendulum is the amount of...Ch. 1 - Driving along a crowded freeway, you notice that...Ch. 1 - Prob. 58PPCh. 1 - Prob. 59PPCh. 1 - Prob. 60PPCh. 1 - Prob. 61PP
Additional Science Textbook Solutions
Find more solutions based on key concepts
EVOLUTION CONNECTION The percentages of naturally occurring elements making up the human body (see Table 2.1) a...
Campbell Biology (11th Edition)
In the environment, nutrients are generally _____. a. limiting b. present in excess c. stable d. artificially i...
Microbiology with Diseases by Body System (5th Edition)
Why is petroleum jelly used in the hanging-drop procedure?
Laboratory Experiments in Microbiology (12th Edition) (What's New in Microbiology)
Pigeons may exhibit a checkered or plain color pattern. In a series of controlled matings, the following data w...
Concepts of Genetics (12th Edition)
All of the following processes are involved in the carbon cycle except: a. photosynthesis b. cell respiration c...
Human Biology: Concepts and Current Issues (8th Edition)
Why isn't FeBr3 used as a catalyst in the first step of the synthesis of 1,3,5-tribromobenzene?
Organic Chemistry (8th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Figure P1.6 shows a frustum of a cone. Match each of the three expressions (a) (r1 + r2)[h2 + (r2 r1)2]1/2, (b) 2(r1 + r2), and (c) h(r12 + r1r2 + r22)/3 with the quantity it describes: (d) the total circumference of the flat circular faces, (e) the volume, or (f) the area of the curved surface. Figure P1.6arrow_forwardA surveyor measures the distance across a straight river by the following method (Fig. P1.6). Starting directly across from a tree on the opposite bank, she walks d = 100 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is 0 = 35.0. How wide is the river? Figure P1.6arrow_forwardRoughly how many heartbeats are there in a lifetime?arrow_forward
- One student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm 0.1 cm. Other students measure the thickness with vernier calipers and obtain four different measurements: (a) 4.32 cm 0.01 cm. (b) 4.31 cm 0.01 cm, (c) 4.24 cm 0.01 cm, and (d) 4.43 cm 0.01 cm. Which of these four measurements, if any, agree with that obtained by the first student?arrow_forwardConsider the equation y=mt+b, where the dimension of y is length and the dimension of t is time, and mand bare constants. What are the dimensions and SI units of (a) mand (b) b ?arrow_forwardState how many significant figures are proper In the results of the following calculations: (a) (106.7)(98.2)/(46.210)(1.01) ; (b) (18.7)2 ; (c) (1.601019)(3712)arrow_forward
- Consider the physical quantities m,s,v,a, and t with dimensions [m]=M,[s]=L,[v]=LT1 and [a]=LT2 . Assuming each of the following equations is dimensionally consistent, find the dimension of the quantity on the left-hand side of the equation: (a)F=ma;(b)K=0.5mv2;(c)p=mv;(d)W=mas;(e)L=mvrarrow_forwardRoughly how many floating-point operations can a supercomputer perform in a human lifetime?arrow_forwardCarry out the arithmetic operations (a) the sum of the measured values 756, 37.2, 0.83, and 2; (b) the product 0.003 2 356.3; and (c) the product 5.620 .arrow_forward
- A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?arrow_forwardThree displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44arrow_forwardProblem 12: In this problem, the symbols M, L, and T represent the dimensions mass, length, and time, respectively. Consider the physical quantities V, ρ, and t with dimensions [V] = L3, [ρ] = ML-3, and [t] = T. (Here, the square bracket means “the dimensions of” so, for example, [V] represents the dimensions of the quantity V.) Part (a) What are the dimensions of ∫ρdV? dimensions = ______ Part (b) What are the dimensions of dV/dt? dimensions = ______ Part (c) What are the dimensions of ρ(dV/dt)? dimensions = ______arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Components of a Vector (Part 1) | Unit Vectors | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=fwMUELxZ0Pw;License: Standard YouTube License, CC-BY
02 - Learn Unit Conversions, Metric System & Scientific Notation in Chemistry & Physics; Author: Math and Science;https://www.youtube.com/watch?v=W_SMypXo7tc;License: Standard Youtube License