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
irakobra [83]
3 years ago
6

Tom has two pendulums with him. Pendulum 1 has a ball of mass 0.2 kg attached to it and has a length of 5 m. Pendulum 2 has a ba

ll of mass 0.6 kg attached to a string of length 1 m. How does mass of the ball affect the frequency of the pendulum
Physics
2 answers:
Margarita [4]3 years ago
8 0

Answer:

Explanation:

Given:

Pendulum 1:

Mass, m = 0.2 kg

Length, l = 5 m

Pendulum 2:

Mass, m = 0.6 kg

Length, l = 1 m

Period, T = 2pi × sqrt(l/g)

Note:

Frequency, f = 1/T

Mass is not a parameter in the formula for calculating frequency of the pendulum. Therefore, mass does not affect the frequency of the motion.

Let's find the frequency of both pendulum irrespective of their masses.

T1 = 2pi × sqrt(5/9.8)

= 4.488 s

Frequency, f1 = 0.22 Hz

T2 = 2pi × sqrt(1/9.8)

= 2.007 s

Frequency, f1 = 0.498 Hz

= 0.5 Hz

mars1129 [50]3 years ago
3 0

Given Information:

Pendulum 1 mass = m₁ = 0.2 kg

Pendulum 2 mass = m₂ = 0.6 kg

Pendulum 1 length = L₁ = 5 m

Pendulum 2 length = L₂ = 1 m

Required Information:

Affect of mass on the frequency of the pendulum = ?

Answer:

The mass of the ball will not affect the frequency of the pendulum.

Explanation:

The relation between period and frequency of pendulum is given by

f = 1/T

The period of pendulum is given by

T = 2π√(L/g)

Where g is the acceleration due to gravity and L is the length of the string

As you can see the period (and frequency too) of pendulum is independent of the mass of the pendulum. Therefore, the mass of the ball will not affect the frequency of the pendulum.

Bonus:

Pendulum 1:

T₁ = 2π√(L₁/g)

T₁ = 2π√(5/9.8)

T₁ = 4.49 s

f₁ = 1/T₁

f₁ = 1/4.49

f₁ = 0.22 Hz

Pendulum 2:

T₂ = 2π√(L₂/g)

T₂ = 2π√(1/9.8)

T₂ = 2.0 s

f₂ = 1/T₂

f₂ = 1/2.0

f₂ = 0.5 Hz

So we can conclude that the higher length of the string increases the period of the pendulum and decreases the frequency of the pendulum.

You might be interested in
In your textbook reading Chapter 26, the author suggests that an electric vehicle (EV) fleet can be used as a kind of distribute
d1i1m1o1n [39]

Answer:

Answer for the question is given in the attachment.

Explanation:

Download pdf
8 0
3 years ago
A piece of wire 29 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
skelet666 [1.2K]

Answer:

Explanation:

Total length of the wire is 29 m.

Let the length of one piece is d and of another piece is 29 - d.

Let d is used to make a square.

And 29 - d is used to make an equilateral triangle.

(a)

Area of square = d²

Area of equilateral triangle = √3(29 - d)²/4

Total area,

A = d^{2}+\frac{\sqrt3}{4}\left ( 29-d \right )^{2}

Differentiate both sides with respect to d.

\frac{dA}{dt}=2d- \frac{\sqrt3}{4}\times 2(29-d)

For maxima and minima, dA/dt = 0

d = 8.76 m

Differentiate again we get the

\frac{d^{2}A}{dt^{2}}= + ve

(a) So, the area is maximum when the side of square is 29 m

(b) so, the area is minimum when the side of square is 8.76 m

8 0
3 years ago
When heather grabbed the glass of ice water, the ice cubes were floating at the top. why were the ice cubes floating in the wate
tiny-mole [99]
The ice cubes were floating in water because they are less dense than liquid water. When water is frozen, a structure that is crystalline is formed that is held by hydrogen bonding. Due to the orientation of these bonds, the moleules would push far away from each other causing it to have a bigger volume and a lower density.
8 0
3 years ago
If the gas inside the flask in the above exercise is cooled so that its pressure is reduced to a value of 715.7 torr, what will
evablogger [386]

Answer:

(a) 49.0 mm

Explanation:

#First we need to calculate the height of the mercury arm:

Reduced pressure is 715.7torr, Initial Pressure is 797.3torr, Required pressure is:

P_g_a_s=P_a_t_m+P_h\\  

The difference in the two arms will give the pressure difference between the gas placed in the flask attached to an open-end mercury manometer.

P_g_a_s=P_a_t_m+P_h\\797.3=P_a_t_m+(136.4mm-103.8mm)\\P_a_t_m=764.7mm\\\\h_t_o_t_a_l=136.4mm+103.8mm=240.2mm\\\\P_g_a_s=P_a_t_m+\bigtriangleup h\\\bigtriangleup h=P_g_a_s-P_a_t_m\\\\\bigtriangleup h=715.7mm-764.7mm\\=-49mm

Hence the height of the mercury in the arm is 49.00mm

4 0
3 years ago
A person in a hurry averages 70mph on a trip covering a distance of 500 m. what time was required to travel that distance?
DENIUS [597]

The time required to travel that distance at the given speed is determined as 15.84 seconds.

<h3>Time of motion</h3>

The time of motion of the person is calculated as follows;

Distance = speed x time

time = distance/speed

where;

  • distance = 500 m = 0.31 mile

time = (0.31 mile)/(70 mph)

time = 0.0044 hr = 15.84 seconds

Thus, the time required to travel that distance at the given speed is determined as 15.84 seconds.

Learn more about time here: brainly.com/question/10428039

#SPJ1

3 0
2 years ago
Other questions:
  • Eric is creating a timeline of the formation of the solar system. Which sequence best describes the formation of the solar syste
    14·2 answers
  • A trombone plays a C3 note. If the speed of sound in air is 343 m/s and the wavelength of this note is
    8·1 answer
  • The question is on the picture.
    6·2 answers
  • A rocket, initially at rest on the ground, accelerates straight upward from rest with constant acceleration 58.8m/s2 . The accel
    9·1 answer
  • How might you tell if a food contains an acid
    11·1 answer
  • If you are in a rear-wheel skid, you must release your brakes and turn your steering wheel __________
    12·1 answer
  • You have to use 4 N of force to lift a 36 N object with a lever. The lever has an effort arm of 45 m. What is the load arm lengt
    11·1 answer
  • If there is motion, then a force in acting true or false
    7·1 answer
  • Gina is driving her car down the street. She has a teddy bear sitting on the back seat. A dog runs in front of Gina's car, so sh
    11·1 answer
  • a 10 kilogram steel ball is dropped from the top of a tower 100 meters high the kinetic energy of the ball just before it sttike
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!