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ahrayia [7]
3 years ago
7

A particle travels in a circle around a fixed point at 16 revolutions per minute. The linear velocity of the particle is 240pi i

nches per minute.
What is the distance, in inches, between the particle and the fixed point?
Mathematics
1 answer:
Travka [436]3 years ago
4 0

Answer:

7.5 inches.

Step-by-step explanation:

Angular velocity  (ω) in radians per minute

= 16* 2π    (as there are 2π radians in 1 revolution)

= 32π radians per minute.

= ω.

Linear velocity V =  ω r      where r = the radius of the circle.

Therefore:  240π = 32π r

r = 240 / 32

r = 7.5 inches.

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Read 2 more answers
15 points!
Phantasy [73]

Hi there! You are provided with two points, this is all you need to calculate the line's slope.


The equation for slope is:

\frac{y2 - y1}{x2 - x1}

\frac{10 - 8}{3 - 7} = -\frac{2}{4}

Slope: -2/4


Point slope form, or y-y1 = m(x - x1). All we have to do is take the x and y coordinates of either point, as well as the slope, and plug them into the equation.

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Write the equation in slope-intercept form (y=mx+b)

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