Chapter 9: Q13 P (page 377)

If an object has a moment of inertia $19 k g \cdot m^{2}$ and rotates with an angular speed of $70 r a d / s$ , what is its rotational kinetic energy?

Short Answer

Expert verified

The rotational kinetic energy is $4.6 \times 10^{4} J$

Step by step solution

Identification of the given data

The moment of inertia is $I = 19 k g \cdot m^{2}$
An angular speed of $ω = 70 r a d / s$

Concept of rotational kinetic energy

The rotational kinetic energy means the kinetic energy due to the rotation of a System the system.

Determination of the rotational kinetic energy

The rotational kinetic energy,

K_{r o t} = \frac{1}{2} I ω^{2}

Substitute $I$ and $ω$ in the above equation, we get:

K_{r o t} = \frac{(19 k g \cdot m^{2})}{2} \times {(70 r a d / s)}^{2} = (\frac{19 \times 70 \times 70}{2}) \cdot (1 k g \cdot m^{2} \times {(1 r a d / s)}^{2} \times \frac{1 J}{1 k g \cdot m^{2} \cdot r a d^{2} \cdot s^{- 2}}) = 4.6 \times 10^{4} \cdot (1 J) = 4.6 \times 10^{4} J

Hence, the rotational kinetic energy is $4.6 \times 10^{4} J$

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If an object has a moment of inertia $19 k g \cdot m^{2}$ and rotates with an angular speed of $70 r a d / s$ , what is its rotational kinetic energy?

Short Answer

Step by step solution

Identification of the given data

Concept of rotational kinetic energy

Determination of the rotational kinetic energy

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If an object has a moment of inertia 19kg·m2 and rotates with an angular speed of 70rad/s, what is its rotational kinetic energy?

Short Answer

Step by step solution

Identification of the given data

Concept of rotational kinetic energy

Determination of the rotational kinetic energy

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Space Physics

Geometrical and Physical Optics

Kinematics Physics

Atoms and Radioactivity

Dynamics

Magnetism and Electromagnetic Induction

Study anywhere. Anytime. Across all devices.

If an object has a moment of inertia $19 k g \cdot m^{2}$ and rotates with an angular speed of $70 r a d / s$ , what is its rotational kinetic energy?