Question

In: Physics

Your grandfather clock is a simple pendulum with a length of 0.994 m. If the clock...

Your grandfather clock is a simple pendulum with a length of 0.994 m. If the clock loses 3 min in a week, how should you adjust the length of the pendulum so that it can properly keep time?

Expert Solution

Use formula

============

Time period = Total time/No. of oscillations

No of oscillations*Time period = Total time

==========

Let be the no of oscillations completed in a week

Consider the initial case.

Given that the clock loses 3 min in a week

Total time,

----------(1)

------------

Consider the corrected case

If the clock is corrected, then

Total time,

--------(2)

===========

Divide (1) by (2)

Square both sides

==========

ANSWER: Increase the length of the simple pendulum by to correct the time.

============================================================================

genius_generous answered 6 months ago

Your grandfather clock’s pendulum has a length of 0.9930 m. if the clock runs slow and...

Your grandfather clock’s pendulum has a length of 0.9930 m. if the clock runs slow and loses 21 s per day, how should you adjust the length of the pendulum?

1. You want to design a pendulum for a grandfather clock so that it has a...

1. You want to design a pendulum for a grandfather clock so that it has a period of 2.00 seconds (so that one “tick” plus one “tock” occur during one complete period). The pendulum has a heavy 8.00-kg bob. (Throughout this problem, assume an ideal simple pendulum: the pendulum’s arm has negligible mass, the bob can be approximated as a point-mass, the initial angle of displacement is small, and there is negligible friction.) a.) If you want the clock to...

The length of a simple pendulum is 0.75 m and the mass of the particle (the...

The length of a simple pendulum is 0.75 m and the mass of the particle (the “bob”) at the end of the cable is 0.26 kg. The pendulum is pulled away from its equilibrium position by an angle of 9.2° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. (a) What is the angular frequency of the motion? (b) Using the position of the bob at its lowest point...

The length of a simple pendulum is 0.80 m and the mass of the particle (the...

The length of a simple pendulum is 0.80 m and the mass of the particle (the “bob”) at the end of the cable is 0.31 kg. The pendulum is pulled away from its equilibrium position by an angle of 7.4° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. (a) What is the angular frequency of the motion? (b) Using the position of the bob at its lowest point...

The length of a simple pendulum is 0.78 m and the mass of the particle (the...

The length of a simple pendulum is 0.78 m and the mass of the particle (the "bob") at the end of the cable is 0.26 kg. The pendulum is pulled away from its equilibrium position by an angle of 8.70° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. (a) What is the angular frequency of the motion? ___rad/s (b) Using the position of the bob at its lowest...

The length of a simple pendulum is 0.84 m and the mass of the particle (the...

The length of a simple pendulum is 0.84 m and the mass of the particle (the "bob") at the end of the cable is 0.23 kg. The pendulum is pulled away from its equilibrium position by an angle of 9.05° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion.

The length of a simple pendulum is 0.72 m and the mass of the particle (the...

The length of a simple pendulum is 0.72 m and the mass of the particle (the "bob") at the end of the cable is 0.21 kg. The pendulum is pulled away from its equilibrium position by an angle of 8.40° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. (a) What is the angular frequency of the motion? ____rad/s (b) Using the position of the bob at its lowest...

The length of a simple pendulum is 0.79 m and the mass of the particle (the

Q1: Consider the simple pendulum system, the length of the pendulum is ‘l’ and mass ‘m’...

Q1: Consider the simple pendulum system, the length of the pendulum is ‘l’ and mass ‘m’ has simple harmonic motion. Find the equation of motion using 2 approaches: Newtonian and Lagrangian. What do you conclude?

A grandfather clock has a pendulum that consists of a thin brass disk of radius 36...

A grandfather clock has a pendulum that consists of a thin brass disk of radius 36 cm and mass 1.8 kg that is attached to a long, thin rod of negligible mass. The pendulum swings freely about an axis perpendicular to the rod and through the end of the rod opposite the disk. The pendulum should be designed so that its period is 2 s for small oscillations when the gravitational acceleration is 9.8 m/s2. (a) What should the length...