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
mrs_skeptik [129]
3 years ago
12

During their physics field trip to the amusement park, Leslie and Maria took a ride on the Whirligig. The Whirligig ride consist

s of long swings which spin in a circle at relatively high speeds. As part of their lab, Leslie and Maria estimate that the riders travel through a circle with a radius of 6.5 m and make one circle every 5.8 seconds. Determine the frequency, the period, the speed and acceleration of the riders on the Whirligig
Physics
1 answer:
grandymaker [24]3 years ago
6 0

Answer:

a) frequency = 0.1724 Hz

b) Period = 5.8 sec

c) speed = 7.04 m/s

d) acceleration = 7.62 m/s²

Explanation:

Given that;

radius = 6.5m

time period = 5.8 sec every circle

a)  the frequency

frequency is the number of rotation in unit time

frequency = 1 / time period = 1/5.8

frequency = 0.1724 Hz

b)  the period

period is time taken in one rotation

period = total time / rotation = 5.8 / 1

Period = 5.8 sec

c)  the speed

speed = distance/time = circumference/time period = 2πr / t = (2π×6.5) / 5.8

speed = 7.04 m/s

d) acceleration

To find the acceleration we take the linear velocity squared divided by the radius of the circle.

so

acceleration = v² / r = (7.04)² / 6.5 = 49.5616 / 6.5

acceleration = 7.62 m/s²

You might be interested in
A 0.23 kg mass at the end of a spring oscillates 2.0 times per second with an amplitude of 0.15 m
charle [14.2K]

Answer:

A) v = 1.885 m/s

B) v = 0.39 m/s

C) E = 0.03 J

D) x(t) = (0.15m)\cos(2\pi (2.0Hz)t)

Explanation:

Part A

We will use the conservation of energy to find the speed at equilibrium.

K_{eq} + U_{eq} = K_A + U_A\\\frac{1}{2}mv^2 + 0 = 0 + \frac{1}{2}kA^2\\v = \sqrt{\frac{k}{m}}A

where \omega = \sqrt{k/m} and \omega = 2\pi f

Therefore,

v = 2\pi f A = 2(3.14)(2)(0.15) = 1.885~m/s

Part B

The conservation of energy will be used again.

K_1 + U_1 = K_2 + U_2\\\frac{1}{2}mv^2 + \frac{1}{2}kx^2 = \frac{1}{2}kA^2\\mv^2 + kx^2 = kA^2\\(0.23)v^2 + k(0.10)^2 = k(0.15)^2\\v^2 = \frac{k(0.15)^2-(0.10)^2}{0.23}\\v = \sqrt{0.054k}

where k = \omega^2 m = (2\pi f)^2 m = 2(3.14)(2)(0.23) = 2.89

Therefore, v = 0.39 m/s.

Part C

Total energy of the system is equal to the potential energy at amplitude.

E = \frac{1}{2}kA^2 = \frac{1}{2}(2.89)(0.15)^2 = 0.03~J

Part D

The general equation of motion in simple harmonic motion is

x(t) = A\cos(\omega t + \phi)\\x(t) = (0.15m)\cos(2\pi (2.0Hz)t + \phi)

where \phi is the phase angle to be determined by the initial conditions. In this case, the initial condition is that at t = 0, x is maximum. Therefore,

x(t) = (0.15m)\cos(2\pi (2.0Hz)t)

5 0
4 years ago
One the energy level diagram what is represented by the letter<br> a<br> b<br> c
Mademuasel [1]

Answer:

see below

Explanation:

B is the activation energy

A is the enthalpy change which is negative

C is the product of oxygen and ethanol which is carbon dioxide and water

hope this helps, please mark

3 0
3 years ago
Global Precipitation Measurement (GPM) is a tool scientist use to forecast weather. Which statements describe GPM
klio [65]

Answer:

Correct answers:

Explanation:

• It is a satellite that collects data about rain and snow.

GPM is part of NASA's Earth Systematic Missions program and its function is to track precipitation from space with satellites and to provide accurate information of the time, place an amount of rain or snow anywhere in the world.

• Its orbit covers 90 percent of Earth's surface.

 GPM has unique perspective on measuring precipitation from space because of their collected satellite retrievals.

• The sensors measure microwaves.

GPM Microwave Imager (GMI) is a sensor that observes the microwave energy emitted by the Earth and atmosphere, so it improves the accuracy of rain and snowfall estimates.

6 0
4 years ago
What determines the quality of a conductor
aksik [14]
<span>number of free electrons present.</span>
8 0
3 years ago
What prediction did Mendeleev make that came true less than 20 years later?
nataly862011 [7]

Answer:

the answer is option B

Explanation:

6 0
3 years ago
Other questions:
  • If the density of iron is 7.87 g/cm3, what is the volume of the 12.00 g piece of iron? use proper significant figures.
    9·1 answer
  • Our solar system formed from a huge cloud of dust and gas called a _____.
    7·2 answers
  • A swimming pool measures 5.0 m long x 4.0 m wide x 3.0 mdeep.
    9·1 answer
  • A Carnot engine operates with an efficiency of 26.0% when the temperature of its cold reservoir is 281 K. Assuming that the temp
    8·1 answer
  • A large box sits on a rough floor. A person pushes on the box with a horizontal force of magnitude 50 N. The box remains at rest
    15·1 answer
  • Which of the following best explains Big Bang Theory?
    7·1 answer
  • For each value of the principal quantum number n, what are the possible values of the electron spin quantum number m_s?
    9·1 answer
  • 2. Look at the table of typical densities. You have a 1 cm volume of each of the materials.
    5·2 answers
  • an artificial satellite is moving in a circular orbit of radius 36000 kilometre calculate its speed if it takes 24 hours to revo
    14·1 answer
  • Read the following passage and find the two errors. Then, choose the answer that
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!