University Physics Volume 1

18th Edition

ISBN: 9781938168277

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

Publisher: OpenStax - Rice University

*expand_more*

*expand_more*

*format_list_bulleted*

#### Concept explainers

Question

the period of a simple pendulum, defines as the time necessary for one complete oscillation, is measured in time unites and is given by... (draw it out) where L is the length of the pendulum and G is the acceleration due to gravity , in units of length divided by time squared. show that this equation is dimensionally consistent.

Expert Solution

Trending nowThis is a popular solution!

Step by stepSolved in 3 steps with 2 images

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

Consider the physical quantities s,v,a, and t with dimensions [s]=L,[v]=LT1,[a]=LT2 and [t]=L . Determine whether each of the following equations is dimensionally consistent. (a)v2=2as;(b)s=vt2+0.5at2;(c)v=s/t;(d)a=v/t

*arrow_forward*

Consider the equation s=s0+v0t+a0t2/2+j0t3/6+s0t4/24+ct5/120 , were s is a length and t is a time. What are the dimensions and SI units of (a) s0 , (b) v0 , (c) a0 , (d) j0 , (e) s0, and (f) c ?

*arrow_forward*

The period of a simple pendulum, defined as the time necessary for one complete oscillation, is measured in time units and is given by T=2πlg where l is the length of the pendulum and gis the acceleration due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent.

*arrow_forward*

The period of a simple pendulum, defined as the time necessary for one complete oscillation, is measured in time units and is given by
where ℓ, is the length of the pendulum and g is the acceleration due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent. (You might want to check the formula

*arrow_forward*

The dimensional homogeneity of the equation S = ut + 1/2 ut square is L prove that this assertion is true

*arrow_forward*

The period T of a simple pendulum is the amount of timerequired for it to undergo one complete oscillation. If the lengthof the pendulum is L and the acceleration of gravity is g, then T isgiven by T = 2pLpgq. Find the powers p and q required for dimensional consistency.

*arrow_forward*

Show that, when SI units for µ0 and ε0 are entered, the units given by the right-hand side of the equation in the problem above are m/s.

*arrow_forward*

Solve the following problem by writing complete solutions with corresponding units and by using the constant value.

*arrow_forward*

The period T of a clock pendulum(time for one full swing and back) is given by the formulaT2 = 4π2L/g, where T is measured in seconds, g = 32.2 ft/sec2,and L, the length of the pendulum, is measured in feet. Find approximately the amount the clock gains or loses in a day as a result of the period’s changing by the amount dT

*arrow_forward*

The dimensional homogeneity of the equation a is L; prove that this assertion is true.

*arrow_forward*

The period of a simple pendulum, defined as the time necessary for one complete oscillation is measured in time units and is given byT = 2π√√?/?Derive an equation for the length (l)

*arrow_forward*

write the solution step by step and clearly.Answer Number 2.

*arrow_forward*

*arrow_back_ios*

- SEE MORE QUESTIONS

*arrow_forward_ios*

Recommended textbooks for you

University Physics Volume 1

Physics

ISBN:9781938168277

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

Publisher:OpenStax - Rice University

Stars and Galaxies

Physics

ISBN:9781305120785

Author:Michael A. Seeds, Dana Backman

Publisher:Cengage Learning

An Introduction to Physical Science

Physics

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:Cengage Learning

University Physics Volume 1

Physics

ISBN:9781938168277

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

Publisher:OpenStax - Rice University

Stars and Galaxies

Physics

ISBN:9781305120785

Author:Michael A. Seeds, Dana Backman

Publisher:Cengage Learning

An Introduction to Physical Science

Physics

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:Cengage Learning