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
jasenka [17]
3 years ago
13

A 1.35-kg ball is tied to a 1.10-m long string is being spun in a vertical circle at a constant speed and with a period of 2.10

s. What is the maximum tension in the string?
Physics
2 answers:
ikadub [295]3 years ago
6 0

Answer:

T = 13.3 N

Explanation:

In this exercise we use Newton's second law, in the lower birth of the circle the tension and force are opposite, so the tension has its maximum value

          T - W = m a

The acceleration is centripetal

         a = v² / r = w² r

We replace

               T = mg + m w² r

The angular velocity is related to the period

              w = 2π f = 2π / T₀

             T₀ = 2.10 s

             T = m (g + 4π² r / T₀²)

Let's calculate

             T = 1.35 (9.8 + 4π² 1.10 /2.10²)

             T = 13.3 N

777dan777 [17]3 years ago
6 0

Answer:

26.51 N

Explanation:

Using

F = mω²r + mg ....................... Equation 1

Where F = maximum tension in the string, ω = angular velocity, r = radius of the circle formed/ Length of the ball, g = acceleration due to gravity

Also,

ω = 2π/T........................ Equation 2

Where T = Period, π = Pie

Substitute equation 2 into equation 1

F = [mr(2π/T)²]+mg

F = [mr4π²/T²]+mg.................... Equation 3

Given: m = 1.35 kg, r = 1.10 m, T = 2.10 s, g = 9.8 m/s², π = 3.14

Substitute into equation 3

F = 1.35(1.1)(4)(3.14²)/2.1² + 1.35(9.8)

F = 13.28+13.23

F = 26.51 N.

Hence the maximum tension in the string = 26.51 N

You might be interested in
In 3 seconds, a wave generator produces 15 pulses that spread over a distance of 45 centimeters. Calculate its velocity.
NemiM [27]

We don't even need to know how many pulses were produced
in those 3 seconds.

The beginning of the first pulse took 3 seconds to travel
45 centimeters from the generator.

Its speed is    (45 cm) / (3 sec)  =  15 cm/sec.

6 0
3 years ago
Find the length of a pendulum that oscillates with a frequency of 0.16 hz. the acceleration due to gravity is 9.81 m/s 2 . answe
Vsevolod [243]
The period of the pendulum is the reciprocal of the frequency:
T= \frac{1}{f}= \frac{1}{0.16 Hz}=6.25 s

The period of the pendulum is given by
T=2 \pi  \frac{L}{g}
where L is the length of the pendulum, and g the acceleration of gravity. By re-arranging the formula and using the value of T we found before, we can  calculate the length of the pendulum L:
L=g  \frac{T^2}{(2 \pi)^2}=(9.81 m/s^2)  \frac{(6.25 s)^2}{(2 \pi)^2}=9.71 m
7 0
3 years ago
Why can concave mirror is used in cosmetic mirror​
tatuchka [14]

Answer:

"When face is placed between the concave mirror and its focus, it produces a magnified image. This enlarged image of face is helpful in makeup as even pores of skin are clearly visible."

4 0
3 years ago
Which of these is an example of an experiment?
Vsevolod [243]
Add different quantities of water to three potted plants
7 0
3 years ago
Can somebody PLEASE answer one of my recent questions!<br> Please don't answer for points!!!!
juin [17]

Answer:

ok i will no problem

Explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • An electromagnetic wave is propagating in the positive x direction. at a given moment in time, the magnetic field at the origin
    15·2 answers
  • Rather than ascribing the increased kinetic energy of the stone to the work of gravity, we now (when using potential energy rath
    13·1 answer
  • 2 cycleists, 90 miles apart starting riding toward each other at some times one cycles twice as fast as the other if they meet 2
    10·1 answer
  • Four charges are on the four corners of a square. Q1 = +5μC, Q2 = -10μC, Q3 = +5μC, Q4 = -10μC. The side length of the square is
    11·1 answer
  • What is average speed?what is the formula for average speed?what does it mean?
    6·1 answer
  • Monitoring your grades will help you pinpoint your academic weaknesses. true or false.
    6·2 answers
  • Assume that the electric field E is equal to zero at a given point. Does it mean that the electric potential V must also be equa
    7·1 answer
  • Which of the following describes an element?
    11·1 answer
  • A child is riding in a child-restraint chair, securely fastened to the seat of a car. Assume the car has speed 47 km/h when it h
    5·1 answer
  • PLEASE help me quickly
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!