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
andrew11 [14]
3 years ago
10

A displacement is related to time as x = A sin(2?ft), where A and f are constants. Find the dimensions of A. [Hint: A trigonomet

ric function appearing in an equation must be dimensionless.]
A. L * T
B. L / T
C. L
D. T / L
E. T
Physics
1 answer:
Luba_88 [7]3 years ago
5 0

Answer:

The right option is C. i.e L

Explanation:

Dimension of a quantity is the collection of the indexes of each of the fundamental quantities contained in it.

Therefore, to get the dimension of A in the equation

X=Asin(2(pi)ft)

Making A the subject of the formula

A = X / (sin(2(pi)ft)

Since sin(2(pi)ft which is a trigonometric function does not have a dimension

A = L

The dimension of A is L

You might be interested in
A one-dimensional plane wall of thickness 2l= 100 mm experiences uniform thermal energy generation of q˙= 800 w/m3 and is convec
slega [8]

Answer:

The thermal conductivity of the wall = 40W/m.C

h = 10 W/m^2.C

Explanation:

The heat conduction equation is given by:

d^2T/ dx^2 + egen/ K = 0

The thermal conductivity of the wall can be calculated using:

K = egen/ 2a = 800/2×10

K = 800/20 = 40W/m.C

Applying energy balance at the wall surface

"qL = "qconv

-K = (dT/dx)L = h (TL - Tinfinity)

The convention heat transfer coefficient will be:

h = -k × (-2aL)/ (TL - Tinfinty)

h = ( 2× 40 × 10 × 0.05) / (30-26)

h = 40/4 = 10W/m^2.C

From the given temperature distribution

t(x) = 10 (L^2-X^2) + 30 = 30°

T(L) = ( L^2- L^2) + 30 = 30°

dT/ dx = -2aL

d^2T/ dx^2 = - 2a

4 0
3 years ago
Write a hypothesis about how the number of half-lives affects the number of radioactive atoms. Use the "if . . . then . . . beca
Roman55 [17]

Answer:

Explanation:

Answer:

Explanation:

The half life is the time taken for half of a radioactive substance to disintegrate.

The shorter the half life, the larger the decay constant and the faster the decay process.

For a very large half life, it would take a very long time for the radioactive nuclide to decay to half.

With each half life reached, a new set of daughter cell is formed. Atoms that have short half life would decay rapidly. Every radionuclide has its own characteristic half-life.

If the number of half-lives increases, then the number of radioactive atoms decreases, because approximately half of the atoms' nuclei decay with each half-life. With this observation, we can hypothesise and conduct experiment to support the assertion that as the number of half-lives increases then the number of radioactive atoms decreases.

8 0
3 years ago
Read 2 more answers
,how do charged objects react???quiet urgent
son4ous [18]
Any charged object can<span> exert the force upon other objects ... i think tell me if im right</span>
8 0
3 years ago
Read 2 more answers
A 0.095 kg tennis ball is traveling to the right at 40 m/s when it bounces of a wall and travels in the opposite direction it ca
Mashutka [201]

given that

mass of ball = 0.095 kg

initial velocity of ball towards the wall = 40 m/s

final velocity of the ball after it rebound = 30 m/s

now change in momentum is given as

\Delta P = m(v_f - v_i)

\Delta P = 0.095(30 - (-40))

\Delta P = 6.65 kg m/s

So change in momentum will be 6.65 kg m/s

3 0
2 years ago
A collapsible plastic bag (figure below) contains a glucose solution. If the average gauge pressure in the vein is 1.29 A collap
expeople1 [14]

Answer:

0.125 m

Explanation:

Pressure in fluids is given as the product of density, height and acceleration due to gravity and expressed as

P=hdg

Where h is the height, d is density, g is acceleration due to gravity and P is pressure.

Making h the subject of formula then

h=P/dg

Given specific gravity of a substance, its density is equal to specific gravity multiplied by density of water. Taking density of pure water as 1000 kg/m³ then the density of reference fluid will be 1.05*1000=1050 kg/m³

Substituting pressure with 1.29*10³ pa as given then taking g as 9.81 m/s² then

H=1.29*10³÷(9.81*1050)=0.1252366389981068880151448958788408329692m

Rounded off, the height is approximately 0.125 m

8 0
3 years ago
Other questions:
  • A gas occupies 140 mL at 35.0 and 97kPa. what wlll the volume be at STP?
    6·1 answer
  • How many satellites exist in Earth’s orbit today?
    5·1 answer
  • Pretend you're
    13·1 answer
  • Which type of bonding is found in all molecular substances
    5·1 answer
  • I'm Always in front of you. but you never see me. what am i?​
    6·1 answer
  • Для вимірювання температури води, що має масу 66 г, у неї занурили термометр, який показав температуру 32,4 °С. Якою була дійсна
    15·1 answer
  • A metal ring 5.00 cm in diameter is placed between the north and south poles of large magnets with the plane of its area perpend
    7·1 answer
  • a man of mass 50 kg climbs up stairs each of height 0.2 m in 20 seconds .calculate the power of the man​
    15·1 answer
  • can someone help me answer this correctly in the next 20 minutes? I’ll give out a brainliest if you can answer it right :)
    13·1 answer
  • In the experiment, a meter is hooked up to a speaker to monitor the amplitude of the received sound. Suppose the background sign
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!