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3 years ago

What is the speed of a 3 cm diameter roll if it has a velocity of 1220 yards/hour?

Mathematics

1 answer:

Alex Ar [27]3 years ago

5 0

Answer:

The speed of the roll is 1239.52 revolutions per minut (1239.52 rpm).

Step-by-step explanation:

In this problem we want to know the angular speed of the roll, knowing its tangencial speed (1220 yards/hour).

The relation between the angular speed and the tangencial speed is

$v=\omega*r=\omega*(D/2)$

$\omega=2v/D$

In this case we have a diameter of 3 cm and a velocity of 1220 yards/hour. So we can write

$\omega=2v/D=2*1220\frac{yards}{hour} *\frac{1}{3\,cm} *\frac{91.44cm}{1 yard} *\frac{1hour}{60min}= 1239.52 \frac{1}{min}=1239.52 rpm$

So the speed of the roll is 1239.52 revolutions per minut (1239.52 rpm).

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3 years ago

Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is t

tatiyna

Answer:

Alicia is 18years

Quentin is 14years

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Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

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Since x= y+4

x = 14+4

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Since z = y+2

z = 14+2

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This means that;

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Quentin is 14years

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2 years ago

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aleksandrvk [35]

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