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A wahing machine drum ha an internal diameter of 47. 0 cm. It pin at 16. 0 revolution per econd. A it pin, a ock i preed againt the ide of the drum. The ock i tationary with repect to the drum. The peed of the ock i

m −1. After 3. 25 revolution, the magnitude of the average velocity of the ock i

m −1


Sagot :

a = 23.6 The speed  b = 1.64 magnitude of the average velocity

16R/s is the frequency, and 0.47 m0.47m is the diameter. Hence:

16R/s=f= 1/T

and

d = 0.47m = 2r , r=d/2= 0.235

So we can solve for the period (T)

16Rs-¹= f = 1/T

1/16 = T

Then, we have to remember that, in a uniform circular motion, the centripetal acceleration is given by

a = v²/r = 4π²r/T²

Now we have to substitute.

a = 4π²(0.235)/(1/16)²

a=2375.02ms-²

Then, we can use the equation

a = v²/r to solve v

2375.02 = v²/r

2375.02 = v²/0.235

(0.235) (2375.02) = v²

√(0.235)(2375.02) = v

23.6 = v  

(B) 3.25 revolutions means that the displacement will be 0.25 or 1/4 of the circumference.

Hence, the displacement becomes the hypotenuse in a right triangle is where we can use the Pythagorean theorem.

a=b=r

a=b=0.235

a²+b²=c²

(0.235)² + (0.235)² = c²​

C = 0.47/√2

The total time for 3.25 revolutions has to be equal to

3.25T = (3.25) (1/16)

So, since the average velocity is

Displacement/Time we can input the values we have and solve for the result.

Displacement/time = Va

0.47√2 / (3.25) (1/16)

1.64ms-¹ = Va

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