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$\bullet$ Find the period, frequency, and angular frequency of (a) the second hand and (b) the minute hand of a wall clock.

$1.74 \times 10^{-3} \mathrm{rad} / \mathrm{s}$

Physics 101 Mechanics

Chapter 11

Elasticity and Periodic Motion

Equilibrium and Elasticity

Periodic Motion

Hope College

University of Sheffield

McMaster University

Lectures

04:12

In physics, potential energy is the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units is the joule (J). One joule can be defined as the work required to produce one newton of force, or one newton times one metre. Potential energy is the energy of an object. It is the energy by virtue of an object's position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force which works against the force field of the potential. The potential energy of an object is the energy it possesses due to its position relative to other objects. It is said to be stored in the field. For example, a book lying on a table has a large amount of potential energy (it is said to be at a high potential energy) relative to the ground, which has a much lower potential energy. The book will gain potential energy if it is lifted off the table and held above the ground. The same book has less potential energy when on the ground than it did while on the table. If the book is dropped from a height, it gains kinetic energy, but loses a larger amount of potential energy, as it is now at a lower potential energy than before it was dropped.

02:18

In physics, an oscillation is the repetitive variation, typically in time, of some measure about a central value or between two or more different states. The oscillation may be periodic or aperiodic.

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the period is the time it takes to do a full cycle. So for the second hand, period is 60 seconds. Since it takes 60 seconds for the second hand, Teo, make a full cycle around the clock. The frequency which is one over the period supposed to be a t there one over. The period is equal to 0.167 in the units of frequency. Our it hurts as long as the period when plugged into this formula is in seconds. Now the angular frequency is too pious and somewhat find two pi times. This is a value of 0.105 and this is in radiance percentage. Prepare B. We want to do the same thing, except for the minutes hand. So the period in this case is one hour since it takes one hour for the minutes hand to make all the way around the circle, this is equal to 36 100 seconds. That means the frequency, which is the inverse of this is 2.78 times 10 to the negative for hurts. And we'll find this by two. Pi gives an angular frequency 1.75 times 10 to the last third range per second and

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