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
Mariana [72]
3 years ago
15

One end of a string is fixed. An object attached to the other end moves on a horizontal plane with uniform circular motion of ra

dius R and frequency f. The tension in the string is Fs . If both the radius and frequency are doubled, the tension is what
Physics
1 answer:
sveticcg [70]3 years ago
5 0

Answer:

If both the radius and frequency are doubled, then the tension is increased 8 times.

Explanation:

The radial acceleration (a_{r}), measured in meters per square second, experimented by the moving end of the string is determined by the following kinematic formula:

a_{r} = 4\pi^{2}\cdot f^{2}\cdot R (1)

Where:

f - Frequency, measured in hertz.

R - Radius of rotation, measured in meters.

From Second Newton's Law, the centripetal acceleration is due to the existence of tension (T), measured in newtons, through the string, then we derive the following model:

\Sigma F = T = m\cdot a_{r} (2)

Where m is the mass of the object, measured in kilograms.

By applying (1) in (2), we have the following formula:

T = 4\pi^{2}\cdot m\cdot f^{2}\cdot R (3)

From where we conclude that tension is directly proportional to the radius and the square of frequency. Then, if radius and frequency are doubled, then the ratio between tensions is:

\frac{T_{2}}{T_{1}} = \left(\frac{f_{2}}{f_{1}} \right)^{2}\cdot \left(\frac{R_{2}}{R_{1}} \right) (4)

\frac{T_{2}}{T_{1}} = 4\cdot 2

\frac{T_{2}}{T_{1}} = 8

If both the radius and frequency are doubled, then the tension is increased 8 times.

You might be interested in
If the same types of fossils are found in two separate rock layers, it's likely that the two rock layers ____. A-formed at diffe
zmey [24]
<span>B-are part of one continuous deposit.</span>
5 0
3 years ago
Read 2 more answers
The mass of a basketball is three times greater than the mass of a softball . Compare the momentum’s of a softball and a basketb
Lemur [1.5K]
They are moving the softball of basketball
4 0
3 years ago
True or false? Thanks,
vichka [17]

Answer: The answer is true

7 0
1 year ago
Read 2 more answers
If a hypothesis is falsifiable, _____.
san4es73 [151]

Answer:

it must be possible to prove it wrong

Explanation:

4 0
3 years ago
Read 2 more answers
Which of the following is not a means to accelerating?
GenaCL600 [577]
The answer is B. Remain still.
8 0
3 years ago
Other questions:
  • would you expect the air pressure in a valley thats below sea level to be higher or lower than the air pressure at sea level
    5·1 answer
  • A ball is attached to a string and rotates in a circle. if it takes 1.00 s to complete one revolution, what is the angular veloc
    11·1 answer
  • A person uses a constant force to push a 14.0 kg crate 1.80 m up a frictionless 10⁰ incline and to also increase its speed from
    14·1 answer
  • A student rapidly rubs the palms of both hands
    8·1 answer
  • Which element is most likely to carry electric current easily?
    15·1 answer
  • An amusement ride consists of a car moving in a vertical circle on the end of a rigid boom. The radius of the circle is 10 m. Th
    15·2 answers
  • A bird lands on a bird feeder which is connected to a spring. The mass of the bird is exactly the same as the mass of the bird f
    11·1 answer
  • When your vehicle turns a corner, the tracks made by the rear tires are always: a) Outside of those made by your front tires b)
    6·1 answer
  • An elevator car has a mass of 750 kg, and its three passengers have a combined mass of 135 kg. If the elevator and its passenger
    9·1 answer
  • Please can someome answer this question with working out​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!