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
Ksenya-84 [330]
3 years ago
15

A heavy piece of hanging sculpture is suspended by a 90 cm-long, 5.0 g steel wire. When the wind blows hard, the wire hums at it

s fundamental frequency of 80 Hz.
What is the mass of the sculpture?
Physics
1 answer:
kupik [55]3 years ago
4 0

Answer: The mass of the sculpture is 11.8kg

Explanation:

Using the equation of fundamental frequency of a taut string.

f = (1/2L)*√(T/μ) .... (Eqn1)

Where

f= frequency in Hertz =80Hz

T = Tension in the string = Mg

M represent the mass of the substance (sculpture) =?

g= 9.8m/s^2

L= Length of the string=90cm=0.9m

μ= mass density = mass of string /Length of string

mass of string =5g=0.005kg

L=0.9m

μ=0.005/0.9 = 0.0056kg/m

Using (Eqn1)

80= 1/(2*0.9) √(T/0.0056)

144= √(T/0.0056)

Square both sides

20736= T/0.0056

T= 116.12N

Recall that T =Mg

116.12= M * 9.8

M=116.12/9.8

M= 11.8kg

Therefore the mass of the sculpture is 11.8kg

You might be interested in
Name the net force between objects that allows a car to travel in a circle
iren [92.7K]
I think centripetal force ☺
6 0
3 years ago
What is the weight of an object with a mass of 6.0 kg on Earth?
gregori [183]
<h2>since weight is measured in newtons, convert the 6 kg to newtons</h2><h3>the formula to convert is kg x 9.807 = N</h3>
  • 6 x 9.807
  • = 58.842 N

hope that helps :))

3 0
2 years ago
Read 2 more answers
What is the effect of pressure on the solubility of gases in liquids?
34kurt
The solubility of gases in liquids increases with the increase in pressure.
3 0
2 years ago
Which is heavier, 1 m3 of steel or 1 m3 of aluminium?​
Strike441 [17]

Answer:

Steel is almost 2.9 times heavier the aluminium.

5 0
2 years ago
A golf ball is struck with a five iron on level ground. it lands 100.0 m away 4.60 s later. what was the magnitude and direction
finlep [7]

consider the motion in x-direction

v_{ox} = initial velocity in x-direction = ?

X = horizontal distance traveled = 100 m

a_{x} = acceleration along x-direction = 0 m/s²

t = time of travel = 4.60 sec

Using the equation

X = v_{ox} t + (0.5) a_{x} t²

100 =  v_{ox} (4.60)

v_{ox} = 21.7 m/s


consider the motion along y-direction

v_{oy} = initial velocity in y-direction = ?

Y = vertical displacement  = 0 m

a_{y} = acceleration along x-direction = - 9.8 m/s²

t = time of travel = 4.60 sec

Using the equation

Y = v_{oy} t + (0.5) a_{y} t²

0 = v_{oy} (4.60) + (0.5) (- 9.8) (4.60)²

v_{oy} = 22.54 m/s

initial velocity is given as

v_{o} = sqrt((v_{ox})² + (v_{oy})²)

v_{o} = sqrt((21.7)² + (22.54)²) = 31.3 m/s

direction: θ = tan⁻¹(22.54/21.7) = 46.12 deg

6 0
3 years ago
Other questions:
  • A miler covers one mile in training at a 6 minute pace ( 4 laps on a 1/4 mile track ). What is his speed in mph. And in metric u
    11·1 answer
  • In a simple harmonic motion, when the displacement from the equilibrium position is at its maximum,
    9·1 answer
  • A car goes from point A to point B, five miles away and then returns to point A. The car is going 15 mph.
    6·1 answer
  • You apply the brakes of your car abruptly and your book starts sliding off the front seat. Three observers sitting in the car ex
    13·1 answer
  • May someone please help me with this The ability to perceive accurately, appraise, and express emotion is called
    10·2 answers
  • What forms when air masses with different temperatures meet?
    5·2 answers
  • A student sees a newspaper ad for an apartment that has 1330 square feet (ft^2) or floor space. How many square meters of area a
    6·1 answer
  • a rock of mass of 540 g in the air is found to have an apparent mass of 342 g when submerged in water (a) calculate the weight o
    8·1 answer
  • The variable ______________ describes how quickly something moves.
    7·1 answer
  • How much force is required to accelerate an 8.6kg wagon by 15 m/s ?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!