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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

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A disk between vertebrae in the spine is subjected to a shearing force of 600 N. Find its shear deformation, taking it to have t
Art [367]

Answer:

3.34×10^-6m

Explanation:

The shear modulus can also be regarded as the rigidity. It is the ratio of shear stress and shear strain

can be expressed as

shear stress/(shear strain)

= (F/A)/(Lo/ . Δx)

Stress=Force/Area

The sheear stress can be expressed below as

F Lo /(A *Δx)

Where A=area of the disk= πd^2/4

F=shearing force force= 600N

Δx= distance

S= shear modulus= 1 x 109 N/m2

Lo= Lenght of the cylinder= 0.700 cm=7×10^-2m

If we make Δx subject of the formula we have

Δx= FLo/(SA)

If we substitute the Area A we have

Δx= FLo/[S(πd^2/4]

Δx=4FLo/(πd^2 *S)

If we input the values we have

(4×600×0.7×10^-2)/10^9 × 3.14 ×(4×10^-2)^2

= 3.35×10^-6m

Therefore, its shear deformation is 3.35×10^-6m

A=area of the disk= πd^2/4

= [3.142×(4×10^-2)^2]/4

7 0
3 years ago
Match the following list of key words with their definitions
Korvikt [17]

Question 1 :

1.  VELOCITY

2.  SPEED

3.  NEWTON

4.  MOMENTUM

5.  MASS

Question 2

1.     FORCE

2.    FRICTION

3.    GRAVITY

4.    ELECTROAGNETIC FORCE

5.    ACCELERATION

6 0
2 years ago
Let's say you have two tuning forks which are supposed to produce the same frequency, 512 Hz. One is of good quality, but the ot
solong [7]

Answer:

= 2 beats per seconds

Explanation:

  • From |f -f'| = modulus of the difference between the frequency given.
  • f = 510Hz and f' = 512Hz
  • Difference between the frequency will give us the number of beat per seconds.
  • i.e 2 beats per seconds

These also shows how to get the period of the tuning forks.

7 0
3 years ago
The electrical force on a 2-c charge is 60 n. the electric field where the charge is located is
Kazeer [188]
The electrical force acting on a charge q immersed in an electric field is equal to
F=qE
where
q is the charge
E is the strength of the electric field

In our problem, the charge is q=2 C, and the force experienced by it is
F=60 N
so we can re-arrange the previous formula to find the intensity of the electric field at the point where the charge is located:
E= \frac{F}{q}= \frac{60 N}{2 C}=30 N/C
5 0
3 years ago
A phoneme is the largest unit of sound in a word.
lukranit [14]

This question is incomplete; here is the complete question:

A phoneme is the largest unit of sound in a word. Please select the best answer from the choices provided

A. T

B. F

The correct answer to this question is F (False)

Explanation:

The word "phoneme" is used to refer to the minimal unit of sound in words, and therefore in language. For example, the first phoneme in the word "man" is "m". These units of sound are essential in language because they make each word unique in meaning and sound. For example, "fan" and "man" are different due to the phonemes "m" and "f". According to this, the phone is not the largest unit of sound but the smallest unit.

7 0
3 years ago
Read 2 more answers
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