1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
elena55 [62]
3 years ago
6

A pendulum is formed by taking a 2.0 kg mass and hanging it from the ceiling using a steel wire with a diameter of 1.1 mm. it is

observed that the wire stretches by 0.05 mm under the weight of the mass. what is the period of oscillation of the pendulum?
Physics
1 answer:
Lera25 [3.4K]3 years ago
3 0

Answer: 1.39 s

Explanation:

We can solve this problem with the following equations:

\frac{\Delta l}{l_{o}}=\frac{F}{AY} (1)

T=2 \pi \sqrt{\frac{l_{o}}{g}} (2)

Where:

\Delta l=0.05 mm=5(10)^{-5} m is the length the steel wire streches (taking into account 1mm=0.001 m)

l_{o} is the length of the steel wire before being streched

F=mg=(2 kg)(9.8 m/s^{2})=19.6 N is the force due gravity (the weight) acting on the pendulum with mass m=2 kg

A is the transversal area of the wire

Y=2(10)^{11} Pa is the Young modulus for steel

T is the period of the pendulum

g=9.8 m/s^{2} is the acceleration due gravity

Knowing this, let's begin by finding A:

A=\pi r^{2}=\pi (\frac{d}{2})^{2}=\pi \frac{d^{2}}{4} (3)

Where d=1.1 mm=0.0011 m is the diameter of the wire

A=\pi \frac{(0.0011 m)^{2}}{4} (4)

A=9.5(10)^{-7}m^{2} (5)

Knowing this area we can isolate l_{o} from (1):

l_{o}=\frac{\Delta l AY}{F} (6)

And substitute l_{o} in (2):

T=2 \pi \sqrt{\frac{\frac{\Delta l AY}{F}}{g}} (7)

T=2 \pi \sqrt{\frac{\frac{(5(10)^{-5} m)(9.5(10)^{-7}m^{2})(2(10)^{11} Pa)}{2(10)^{11} Pa}}{9.8 m/s^{2}}} (8)

Finally:

T=1.39 s

You might be interested in
Water waves are caused by wind, which is caused by the sun
11Alexandr11 [23.1K]

The sun emits electromagnetic radiation so I think they are electromagnetic waves.

3 0
3 years ago
Six artificial satellites complete one circular orbit around a space station in the same amount of time. Each satellite has mass
REY [17]

The satellites launch rockets to generate the force required to keep an orbit all around space station circular. The continuous centripetal force is maintained by the centripetal force.

<h3>What is a good illustration of gravity?</h3>

The energy holding the gases inside the sun. the power behind a ball's descent after being thrown into the air. the force that makes an automobile coast downward even when the gas is not depressed.

<h3>What makes anything gravitational?</h3>

Our term gravity and more specific derivation gravitation are derived from a Latin word gravity, from gravis, which itself is derived from a much older root word that is considered to have existed due to multiple cognates in closely related languages.

To know more about Gravitational visit:

brainly.com/question/3009841

#SPJ4

4 0
9 months ago
In order to convert sunlight energy into usable energy the cell needs
Anestetic [448]

Cells do not use the energy from oxidation reactions as soon as it is released. Instead, they convert it into small, energy-rich molecules such as ATP and nicotinamide adenine dinucleotide (NADH), which can be used throughout the cell to power metabolism and construct new cellular components.

6 0
3 years ago
A car’s engine provides a forward force of 500 N. It is opposed by a resistive force of 200 N. The car accelerates forwards for
wariber [46]

Answer:

Explanation:

W = Fd

Engine 500(20) = 10000 J

friction 200(-20) = -4000 J

Energy increase is 10000 - 4000 = 6000 J

5 0
3 years ago
Sound waves move through some liquid at a speed of 1500 m/s. If the wavelength is 3 m, what is the frequency of the wave?
Orlov [11]

Answer:500hz

Explanation:

Frequency=velocity/wavelength

Frequency=1500/3

Frequency=500hz

4 0
3 years ago
Other questions:
  • What two sysrems of a rabbit's body must be working together to run away?
    15·1 answer
  • A grandfather clock keeps time using a pendulum consisting of a light rod connected to a small heavy mass. With a rod of length
    13·1 answer
  • Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. the tide measures 5.15 ft at
    14·1 answer
  • An electric buzzer is activated, then sealed inside a glass chamber. When all of the air is pumped out of the chamber, how is th
    12·1 answer
  • An object is 30 cm in front of a converging lens with a focal length of 10 cm. Use ray tracing to determine the location of the
    8·1 answer
  • A 50 mm diameter steel shaft and a 100 mm long steel cylindrical bushing with an outer diameter of 70 mm have been incorrectly s
    7·1 answer
  • Which vector should be negative?
    9·1 answer
  • A 22.0 kg child slides down a slide that makes a 37.0° angle with the horizontal. (a) What is the magnitude of the normal force
    15·1 answer
  • Light could be thought of as a stream of tiny particles discharged by _______ objects that travel in straight paths. *
    7·1 answer
  • Explain why energy from the sun cannot reach us by conduction or convection?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!