Physics, 27.03.2020 05:08 unknown9263

A light cable is wrapped around a solid cylinder of mass 50kg and diameter 0.12m. The cylinder rotates about a stationary axis. The cable is pulled with a constant force of 9.0N for a distance of 2.0m. The cable unwinds without slipping, turning the cylinder as it does. The cylinder is initially at rest. Find it angular velocity w and the final speed v of the cable.

Answers: 1

Show answers

Answers

Answer from: maskythegamer

The angular velocity is $w = 14\ rad /s$ and the final velocity is v = 0.84 m/s

Explanation:

From the question we are told that

The mass is m = 50kg

The diameter is d = 0.12m

The radius is $r = \frac{d}{2} = \frac{0.12}{2} =0.06m$

The force is F = 9.0N

The distance is s = 2.0m

The force is mathematically represented as

F = ma

9 = 50 * a

$a = \frac{9}{50}$

= 0.18m/s^2

From the Equation of motion we have

v^2 = u^2 +2as

is the final speed of the cable

substituting values we have

v^2 = 0 +2 (0.18)(2)

= 0.72 m^2 /s^2

$v = \sqrt{0.72}$

= 0.84 m/s

Now the linear velocity can be mathematically represented as

v = wr

now substituting values

0.84 = w * 0.06

=> $w = \frac{0.84}{0.06}$

= 14 rad/s

Answer from: araana24

the final velocity of the cable is 0.84m/s

the angular velocity is of the cable is 14rad/s

Explanation:

from the equation of motion

v^2 = u^2 + 2as

F = ma

9.0N = 50kg × a

a = 0.18m/s²

v^2 = u^2 + 2as

v² = 0 + 2(0.18)(2)

v² = 0.72m²/s²

v = √0.72m²/s²

v = 0.84m/s

Hence, the final velocity of the cable is 0.84m/s

v = rω

ω = v/r

r = d/2 = 0.12m/2

= 0.06m

ω = 0.84 / 0.06

= 14rad/s

Hence , the angular velocity is of the cable is 14rad/s

Answer from: Quest

Centrapedial force is the answer

Answer from: Quest

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

$p(t)=0.3t^2+6t+80$

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

$p(0)=0+0+80=80$

according to question, we have said that if the population has twice its initial population, then it becomes

$p(t)=2\times 80=160$

so, time taken to reach this above mentioned population is given by

$160=0.3t^2+6t+80\\\\160-80=0.3t^2+6t\\\\80=0.3t^2+6t\\\\0.3t^2+6t-80=0\\\\\text{using quadratic formula ,we get }\\\\t_{1,\: 2}=\frac{-60\pm \sqrt{60^2-4\cdot \: 3\cdot \: 800}}{2\cdot \: 3}\\\\t=-29.14\ and\ t=9.149$

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.

Another question on Physics

Physics, 21.06.2019 15:00

Ineed with these last two questions: 1) what are two types of cold air masses that influence the weather in north america? name them and describe their humidity. 2) describe the motion of a cold air mass and a warm air mass and the weather you would expect at a warm front and an occluded front.

Answers: 1

Answer

Physics, 22.06.2019 10:50

Asheet of steel 1.5 mm thick has nitrogen atmospheres on both sides at 1200oc and is permitted to achieve a steady-state diffusion condition. the diffusion coefficient for nitrogen in steel at this temperature is 6 x 10- 11 m2 /s, and the diffusion flux is found to be 1.2 x 10-7 kg/m2 -s. also, it is known that the concentration of nitrogen in the steel at the high-pressure surface is 4 kg/m3 . how far into the sheet from this high-pressure side will the concentration be 2.0 kg/m3 ? assume a linear concentration profile.

Answers: 3

Answer

Physics, 22.06.2019 11:00

The government has declared that a hurricane is likely to hit the east coast. which government division is part of acf and provides guidance to citizens? a. job opportunities for low-income individuals b. office of human services emergency preparedness and response c. assets for independence d. low-income home energy assistance program

Answers: 1

Answer

Physics, 22.06.2019 16:00

From the perspective of an employee that effective channeling of work related information and concerns

Answers: 1

Answer

You know the right answer?

A light cable is wrapped around a solid cylinder of mass 50kg and diameter 0.12m. The cylinder rotat...

Questions