Q. 35 Vision is blurred if the head is... [FREE SOLUTION]

Chapter 15: Q. 35 (page 416)

Vision is blurred if the head is vibrated at $29 H z$ because the vibrations are resonant with the natural frequency of the eyeball in its socket. If the mass of the eyeball is $7.5 g$ , a typical value, what is the effective spring constant of the musculature that holds the eyeball in the socket?

Short Answer

Expert verified

The musculature of spring constant is $k = 250 N / m$ .

Step by step solution

Introduction

The spring constant is a property of a springy that gauges the relationship between the force applying on it and the distance it causes. To put it another way, it specifies the stiffness of a spring plus how much it might stretch or compressed.

Explanation

Equation $(15.15)$ in the form relates the resonant velocity $蝇$ to the velocity of motion.

Equation $1$

$蝇 = 2 蟺 f$

We can now insert our $f$ value into equation ( $1$ ) to get $蝇$ .

$蝇 = 2 蟺 f = 2 蟺 (29 Hz) = 182.21 \frac{rad}{s}$

We might derive the link between frequency and the spring constant $k$ from Newton's law of motion by using the formulations of $a_{max}$ and $蝇$ .

$F = m a_{m}$

$k x_{m} = m (蝇^{2} x_{m})$

Equation $2$

$k = m 蝇^{2}$

We nowadays can insert our $蝇$ and $m$ quantities into equation ( $2$ ) to get $k$ .

$k = m 蝇^{2}$

$= (7.5 脳 10^{鈭� 3} kg) (182.21 rad / s)^{2}$

$= 250 N / m$

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Vision is blurred if the head is vibrated at $29 H z$ because the vibrations are resonant with the natural frequency of the eyeball in its socket. If the mass of the eyeball is $7.5 g$ , a typical value, what is the effective spring constant of the musculature that holds the eyeball in the socket?

Short Answer

Step by step solution

Introduction

Explanation

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91影视

Vision is blurred if the head is vibrated at 29Hz because the vibrations are resonant with the natural frequency of the eyeball in its socket. If the mass of the eyeball is 7.5g, a typical value, what is the effective spring constant of the musculature that holds the eyeball in the socket?

Short Answer

Step by step solution

Introduction

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Fundamentals of Physics

Work Energy and Power

Energy Physics

Dynamics

Classical Mechanics

Study anywhere. Anytime. Across all devices.

Vision is blurred if the head is vibrated at $29 H z$ because the vibrations are resonant with the natural frequency of the eyeball in its socket. If the mass of the eyeball is $7.5 g$ , a typical value, what is the effective spring constant of the musculature that holds the eyeball in the socket?