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
docker41 [41]
3 years ago
5

gives the speed v versus time t for a 0.500 kg object of radius 6.00 cm that rolls smoothly down a 30° ramp. The scale on the ve

locity axis is set by vs = 4.0 m/s. What is the rotational inertia of the object?

Physics
1 answer:
ddd [48]3 years ago
8 0

Answer:

Rotational inertia of the object is given as

I = 7.2 \times 10^{-4} kg m^2

Explanation:

As we know that the acceleration of the object on inclined plane is given as

a = \frac{gsin\theta}{1 + k^2/R^2}

now we know that velocity at any instant of time is given as

v = at

now we know that if the graph between velocity and time is given then the slope of the graph will be same as acceleration

so here we have

\frac{gsin\theta}{1 + k^2/R^2} = slope

now from the graph slope of the graph is given as

slope = \frac{3.5 - 0}{1}

\frac{gsin\theta}{1 + k^2/R^2} = 3.5

\frac{9.81 sin30}{1 + k^2/R^2} = 3.5

k^2 = 0.4 R^2

now rotational inertia is given as

I = mk^2

I = 0.5(0.4)(0.06)^2

I = 7.2 \times 10^{-4} kg m^2

You might be interested in
Which of the following is not a constant or control for this experiment?
SCORPION-xisa [38]
D.the amount of time in sun
8 0
3 years ago
Read 2 more answers
Which process best describes part of a scientific investigation?
lara31 [8.8K]

the answer is c because it is the 3rd step in the scientific analysis steps

5 0
3 years ago
Read 2 more answers
Explanation's of E=MC²
natita [175]

Answer:

E means energy

M= Mass

C=speed of light squared (the exponent means squared)

4 0
3 years ago
Read 2 more answers
A student examines a 20-meter long rectangular stream channel and takes the following measurements: width of stream = 4 meters,
Scrat [10]

Answer:

The discharge of the stream at this location is 40 cubic meters per second.

Explanation:

The discharge is the volume flow rate of the water in the stream. For this purpose we can use the following formula:

Discharge = Volume Flow Rate = (Cross-Sectional Area)(Velocity of Stream)

Volume Flow Rate = (Width of Stream)(Depth of Stream)(Velocity of Stream)

Volume Flow Rate = (4 meters)(2 meters)(5 meters per second)

<u>Volume Flow Rate = 40 cubic meters per second</u>

Therefore, the discharge of the stream at this location is found to be <u>40 cubic meters per second</u>

This result shows that 40 cubic meters volume of water passes or discharges through this point in a time of one second. Hence, this is called the volume flow rate or the discharge of the stream.

3 0
3 years ago
The radii of the sprocket assemblies and the wheel of the bicycle in the figure are:
Furkat [3]
To solve this task we have to make a proportion, but firstly we have to set up all the main points : so, the distance is  s=r(B), that has its <span>r=radius,B=angle in rad velocity v=ds/dt= w(r)
Do not forget about </span> w = angular speed in rad/s and w1 = 1 revolution/sec = 2Pi (rad/s)
Now we can go to proportion
v1=v2
w1*r1 = w2r2w2 = w1 * r1/r2 = 2w1 = 4Pi (rad/s)
w2 = w3 (which is the   angular velocity of the rear wheel) &#10;
SOLVING FOR A : v3 = w3 * r3 = 4pi * 14 (inch/s) = 14.66 ft/sec
v3 = 14.66 ft/sec(1 mile/5280 ft)( 3600 sec/h)= 9.99 or something about <span>10 mph --- SOLVING FOR B.
</span>I'm sure it helps!
7 0
3 years ago
Other questions:
  • At a given point on a horizontal streamline in flowing air, the static pressure is â2.0 psi (i.e., a vacuum) and the velocity is
    8·1 answer
  • Plz help True or False. The Electromagnetic Spectrum can be described in terms of wave energy, frequency, and wavelength.
    9·1 answer
  • Item 16 The weight w (in pounds) of an object varies inversely with the square of the distance d (in miles) of the object from t
    12·1 answer
  • Select the correct answer.
    8·1 answer
  • To measure specific heat, the student flows air with a velocity of 20 m/s and a temperature of 25C perpendicular to the length
    14·1 answer
  • Consider a spherical Gaussian surface and three charges: q1 = 1.60 μC , q2 = -2.61 μC , and q3 = 3.67 μC . Find the electric flu
    13·1 answer
  • • Most of the galaxies in the universe are moving away from
    8·1 answer
  • The speed of sound through oxygen at 0°C is 316 meters per second. The speed of sound through solid copper is 5,010 meters per s
    6·2 answers
  • A 1840-kg car travels on a banked, horizontal curve of diameter 225 m. Find the maximum safe speed if the coefficient of frictio
    11·1 answer
  • What is the formula of the compound formed in the reaction of the basic oxide, calcium oxide, with water?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!