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
Burka [1]
3 years ago
13

A coin is placed on a large disk which rotates uniformly at a rate of 1 rot/s. The coefficient of friction between the coin and

the disk is 0.1. What is the maximum distance from the center of the disk that the coin could be placed without slipping? Report your answer in meters.
Physics
1 answer:
s2008m [1.1K]3 years ago
6 0

Answer:

r = 0.02 m

Explanation:

from the question we have :

speed = 1 rps = 1x 60 = 60 rpm

coefficient of friction (μ) = 0.1

acceleration due to gravity (g) = 9.8 m/s^{2}

maximum distance without falling off (r) = ?

to get how far from the center of the disk the coin can be placed without having to slip off we equate the formula for the centrifugal force with the frictional force on the turntable force

mv^2 / r =  m x g x μ

v^2 / r =  g x μ  .......equation 1

where

velocity (v) = angular speed (rads/seconds) x radius

angular speed (rads/seconds) = (\frac{2π}{60} ) x rpm

angular speed (rads/seconds) = (\frac{2 x π}{60} ) x 60 = 6.28 rads/ seconds

now

velocity = 6.28 x r = 6.28 r

now substituting the value of velocity into equation 1

v^2 / r =  g x μ

(6.28r)^2 / r = 9.8 x 0.1

39.5 x r = 0.98

r = 0.02 m

You might be interested in
A block of wood is tied to the bottom of a large container of water so that the block is completely submerged. The density of th
jeka57 [31]

Answer:

58.9 N

Explanation:

The wood is buoyed up by the mass of the water is displaces

  wood volume = .030 m^3 = 30 000 cm^3

   mass of water displaced = 30 000 g = 30  kg

wood mass =   800 kg/m^3  * .030 m^3 = 24 kg

so tension in string    = mg   = (   30 kg - 24 kg) * 9.81 m/s^2 = 58.9 N

6 0
2 years ago
Sprinters push off from the ball of their foot, then bend their knee to bring their foot up close to the body as they swing thei
Nataliya [291]

There are two interchangeable concepts that can be applied to this theory. The first one is the moment of Inertia and the second the perioricity. When the runners put their leg forward they reduce their moment of inertia allowing their center of mass to maintain the speed they carry and not waste energy. In this way when they swing, the leg begins to act as a kind of pendulum, and remember that the pendulum is directly proportional to the length, that is,

T = 2 \pi \sqrt {l / g}

In this way, by bringing their legs closer they reduce the distance and make the period shorter.

7 0
3 years ago
A 1000-kg car traveling at 70 m/s takes 3 m to stop under full braking. the same car under similar road conditions, traveling at
azamat
We assume a=const (acceleration is constant. We apply the equation
v^2=v0^2+2as where s is the distance to stop v=0(m/s). We find the acceleration from this equation
a=-v0^2/(2s)=-70^2/(2*3) =-816.7 (m/s^2)

We know the acceleration, thus we find the distance necesssary to stop when initial speed is v=140 (m/s)
s=-v0^2/(2a) =140^2/(2*816.7)=12 (m)

5 0
3 years ago
Which has greater acceleration, a 1 kg ball in free-fall, or a 2-kg ball in free fall?
timurjin [86]
They both have exactly the same acceleration.
6 0
3 years ago
A sample of hydrated calcium sulfate has a mass of 20.88 g. After it is heated, it has a mass of 16.51 g. What is the percentage
STALIN [3.7K]
We know that when you heat up calcium sulfate all the water has evaporated from it. That means that the mass of water that was initially in the sulfate is the difference in mass of the sulfate before and after the heating.
m{_H__20}=20.88-16.51=4.37g
In order to <span>get a percentage by mass we simply divide this number by the initial amount of sulfate:
</span>\%_{H__2}O=\frac{4.37}{20.88}=20.93\%<span>
</span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • What kind of trait is bird migration?​
    9·1 answer
  • How to reduce friction of moving a heavy load .
    7·1 answer
  • The force of gravity decreases if two objects have
    5·2 answers
  • When did Pangaea begin to break apart?
    8·1 answer
  • Which of the following is true of the structures labeled A in the cell membrane?
    9·2 answers
  • What is the de Broglie wavelength for a proton with energy 50 keV? Due to the limitations of Canvas, please give the wavelength
    10·1 answer
  • You are riding your bike to the mall. You travel the first mile in 10 minutes. The last mile takes you 15 minutes. This is an ex
    5·2 answers
  • Which of the following situations describes a change that will result in a new kind of matter with different characteristics?
    11·1 answer
  • The kinetic theory describes the __1__ of particles in matter and the forces of attraction between them. The theory assumes that
    14·1 answer
  • What is the best definition of
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!