/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 74 A naval aviator had to eject f... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Problem 74

A naval aviator had to eject from her plane before it crashed at sea. She is rescued from the water by helicopter and dangles from a cable that is 45 m long while being carried back to the aircraft carrier. What is the period of her vibration as she swings back and forth while the helicopter hovers over her ship?

Short Answer

Expert verified
Answer: The period of the naval aviator's vibration is approximately 13.5 seconds.

Step by step solution

01

Write down the formula for the period of a simple pendulum

The formula for the period of a simple pendulum is given by T = 2蟺鈭�(L/g), where T is the period we want to find, L is the length of the pendulum (the cable), and g is the acceleration due to gravity (approx. 9.81 m/s虏).
02

Plug in the known values

We know that the length of the cable is L = 45 meters and the acceleration due to gravity is g = 9.81 m/s虏. Now, plug these values into the formula: T = 2蟺鈭�(45/9.81).
03

Calculate the period

Using a calculator to find the value under the square root, we get T = 2蟺鈭�(45/9.81) 鈮� 2蟺鈭�(4.59). Now, calculate the period: T 鈮� 2蟺(2.14) 鈮� 13.5 seconds.
04

Write the final answer

The period of the naval aviator's vibration as she swings back and forth while the helicopter hovers over the ship is approximately 13.5 seconds.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

An anchor, made of cast iron of bulk modulus \(60.0 \times 10^{9} \mathrm{Pa}\) and of volume \(0.230 \mathrm{m}^{3},\) is lowered over the side of the ship to the bottom of the harbor where the pressure is greater than sea level pressure by \(1.75 \times 10^{6} \mathrm{Pa} .\) Find the change in the volume of the anchor.
An ideal spring with a spring constant of \(15 \mathrm{N} / \mathrm{m}\) is suspended vertically. A body of mass \(0.60 \mathrm{kg}\) is attached to the unstretched spring and released. (a) What is the extension of the spring when the speed is a maximum? (b) What is the maximum speed?
A \(230.0-\mathrm{g}\) object on a spring oscillates left to right on a frictionless surface with a frequency of \(2.00 \mathrm{Hz}\). Its position as a function of time is given by \(x=(8.00 \mathrm{cm})\) sin \(\omega t\) (a) Sketch a graph of the elastic potential energy as a function of time. (b) The object's velocity is given by \(v_{x}=\omega(8.00 \mathrm{cm}) \cos \omega t .\) Graph the system's kinetic energy as a function of time. (c) Graph the sum of the kinetic energy and the potential energy as a function of time. (d) Describe qualitatively how your answers would change if the surface weren't frictionless.
A pendulum passes \(x=0\) with a speed of \(0.50 \mathrm{m} / \mathrm{s}\); it swings out to \(A=0.20 \mathrm{m} .\) What is the period \(T\) of the pendulum? (Assume the amplitude is small.)
A thin circular hoop is suspended from a knife edge. Its rotational inertia about the rotation axis (along the knife) is \(I=2 m r^{2} .\) Show that it oscillates with the same frequency as a simple pendulum of length equal to the diameter of the hoop.
See all solutions

Recommended explanations on Physics Textbooks

Force

Read Explanation

Nuclear Physics

Read Explanation

Atoms and Radioactivity

Read Explanation

Classical Mechanics

Read Explanation

Electricity

Read Explanation

Rotational Dynamics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.