Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 6: Problem 70

A typical bumblebee has mass 0.25 mg. It beats its wings 100 times per second, and the wings undergo an average displacement of about \(1.5 \mathrm{mm} .\) When the bee is hovering over a flower, the average force between wings and air must support the bee's weight. Estimate the average power the bee expends in hovering.

Short Answer

Expert verified
The average power that the bumblebee expends in hovering is estimated to be around \(0.03675 \, W\).

Step by step solution

01

Calculate the weight of the bee

To find the weight of the bee, we need to multiply its mass with the acceleration due to gravity. The mass needs to be converted to kg from mg. So the weight of the bee \( W = m \cdot g = 0.25 \cdot 10^{-6} kg \cdot 9.8 m/s^{2} \)
02

Calculate the displacement in meters

The displacement given is in mm, so we convert it to meters. Therefore, Displacement \( d = 1.5 mm = 1.5 \cdot 10^{-3} \, m \)
03

Calculate the power

We can use the formula for power \( P = \frac{ F \cdot d \cdot \nu }{ t }\). But here time t = 1 sec (since the frequency is given by 1/sec). So, Power \( P = F \cdot d \cdot \nu = W \cdot d \cdot \nu = 0.25 \cdot 10^{-6} kg \cdot 9.8 m/s^{2} \cdot 1.5 \cdot 10^{-3} \, m \cdot 100 \, s^{-1} \).

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Does your car's kinetic energy change if you drive at constant speed for 1 hour?

After a tornado, a 0.50 -g drinking straw was found embedded \(4.5 \mathrm{cm}\) in a tree. Subsequent measurements showed that the tree exerted a stopping force of \(70 \mathrm{N}\) on the straw. What was the straw's speed?

Does the gravitational force of the Sun do work on a planet in a circular orbit? On a comet in an elliptical orbit? Explain.

A machine does work at a rate given by \(P=c t^{2},\) where \(c=18 \mathrm{W} / \mathrm{s}^{2}\) and \(t\) is time. Find the work done between \(t=10 \mathrm{s}\) and \(t=20 \mathrm{s}\)

Spider silk is a remarkable elastic material. A particular strand has spring constant \(70 \mathrm{mN} / \mathrm{m},\) and it stretches \(9.6 \mathrm{cm}\) when a fly hits it. How much work did the fly's impact do on the silk strand?
See all solutions

Recommended explanations on Physics Textbooks

Measurements

Read Explanation

Force

Read Explanation

Fluids

Read Explanation

Mechanics and Materials

Read Explanation

Dynamics

Read Explanation

Geometrical and Physical Optics

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.

Sign-up for free