A clock is constructed so that it keeps perfect time when its simple pendulum has a period of exactly 1.000 s. The pendulum bob has length L = 0.2486 m and, instead of keeping perfect time, the clock runs slow by 1.502 minutes per day.(a)What is the free-fall acceleration (in m/s2) at the clock's location? (Give your answer to at least 3 decimal places.) m/s2(b)What length of pendulum bob (in m) is required for the clock to keep perfect time? (Give your answer to at least 4 decimal places.)

Question
Asked Jan 23, 2020
1 views
A clock is constructed so that it keeps perfect time when its simple pendulum has a period of exactly 1.000 s. The pendulum bob has length L = 0.2486 m and, instead of keeping perfect time, the clock runs slow by 1.502 minutes per day.
(a)
What is the free-fall acceleration (in m/s2) at the clock's location? (Give your answer to at least 3 decimal places.)
 m/s2
(b)
What length of pendulum bob (in m) is required for the clock to keep perfect time? (Give your answer to at least 4 decimal places.)
check_circle

Expert Answer

Step 1

When the time period of a simple pendulum increases then the clock starts running slow. The loss of time per second can be calculated as,

Physics homework question answer, step 1, image 1
fullscreen
Step 2

 The time period of the simple pendulum is given by,

Physics homework question answer, step 2, image 1
fullscreen
Step 3

Calculate the free fall acceleration at the ...

Physics homework question answer, step 3, image 1
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Vibrations

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: A runner in a marathon passes the 7-mile mark at 1 o'clock and the 18-mile mark at 5 o'clock. What i...

A: Click to see the answer

question_answer

Q: Water flows at a speed of 6cm/s through a tube of radius 1cm. Coefficient of viscosity of water at r...

A: Given :speed of water = 6cm=6x10-2m/sRadius of tube =1cm=10-2mDiameter of tube =2x10-2mcoefficient o...

question_answer

Q: A system of 1435 particles, each of which is either an electron or a proton, has a net charge of −7....

A: A.Let p be the number of protons and e be the number of electrons. Then

question_answer

Q: What is Huygens Principle?

A: Huygen’s principle describes how a wave is propagated.

question_answer

Q: The bulb of one thermometer is spherical while that of other is cylindrical. Both have equal amount ...

A: The surface area of the cylindrical bulb will be more compared to the spherical bulb. Both the bulbs...

question_answer

Q: Describe briefly the Magnus effect.

A: The disturbance is the fluids when a spinning object, an object moving in clockwise passes through a...

question_answer

Q: Given a sample of 1cm3 of hydrogen and 1cm3 of oxygen both at NTP. Which sample has large number of ...

A: Avogadro hypothesis says that under similar conditions of temperature and pressure volume of all gas...

question_answer

Q: The two thigh bones (femurs) each of cross-sectional area 10cm2, support the upper part of a human b...

A: The expression for the average pressure sustained by the femurs is

question_answer

Q: What is the volume of the bubble as it reaches the surface?

A: Given information:Initial gauge pressure (Pgauge) = 1.9 atmThe total initial pressure (P1) = Patm + ...