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Chapter 11: Problem 22

Express the units of angular momentum (a) using only the fundamental units kilogram, meter, and second; (b) in a form involving newtons; (c) in a form involving joules.

Short Answer

Expert verified
Thus, the units of angular momentum can be expressed in three ways: (a) as kg.m^2/s using fundamental units, (b) as N.m.s involving newtons, and (c) as J.s involving joules.

Step by step solution

01

Express angular momentum in fundamental units

Angular momentum is ordinarily expressed in terms of the fundamental units kg.m^2/s. In this case the units can be broken down as follows: kilogram (kg), meters squared (m^2) and per second (/s). So, the units of angular momentum in fundamental physical units are kilogram meters squared per second (kg.m^2/s).
02

Express angular momentum in terms of Newtons

A Newton (N) is a derived unit of force in the International System of Units (SI), and it is defined as one kilogram meter per second squared (kg.m/s^2). Therefore, we can take advantage of the concept of force to express the units of angular momentum in terms of Newtons and meters as Newton meter seconds (N.m.s).
03

Express angular momentum in terms of Joules and seconds

A Joule (J) is a derived unit of energy or work in the International System of Units (SI), and it is defined as one Newton meter (N.m). So we can replace Newton meter with Joule to get the units of angular momentum in terms of Joules and seconds (J.s).

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Most popular questions from this chapter

A turntable of radius \(25 \mathrm{cm}\) and rotational inertia \(0.0154 \mathrm{kg} \cdot \mathrm{m}^{2}\) is spinning freely at 22.0 rpm about its central axis, with a \(19.5-\mathrm{g}\) mouse on its outer edge. The mouse walks from the edge to the center. Find (a) the new rotation speed and (b) the work done by the mouse.

If you increase the rotation rate of a precessing gyroscope, will the precession rate increase or decrease?

As an automotive engineer, you're charged with redesigning a car's wheels with the goal of decreasing each wheel's angular momentum by \(30 \%\) for a given linear speed of the car. Other design considerations require that the wheel diameter go from \(38 \mathrm{cm}\) to \(35 \mathrm{cm} .\) If the old wheel had rotational inertia \(0.32 \mathrm{kg} \cdot \mathrm{m}^{2},\) what do you specify for the new rotational inertia?

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