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fiasKO [112]
4 years ago
11

Find the slope of the line

Mathematics
2 answers:
wel4 years ago
6 0

Answer:

3/7

Step-by-Step explanation

Reika [66]4 years ago
5 0

Answer:

7/3

Step-by-step explanation:

We can find the slope of a line given two points by

m = (y2-y1)/ (x2-x1)

    = (3--4)/(4-1)

   = (3+4)/(4-1)

7/3

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A gear with a diameter of 12.0 inches makes 35 revolutions every three minutes. Find the linear and angular velocities of a poin
alina1380 [7]

Answer:

Angular velocity: \omega = \frac{7\pi}{18} \,\frac{rad}{s} (1.222\,\frac{rad}{s})

Linear velocity: v = \frac{14\pi}{3}\,\frac{m}{s} (14.661\,\frac{m}{s})

Step-by-step explanation:

The gear experiments a pure rotation with axis passing through its center, the angular (\omega), in radians per second, and linear velocities (v), in inches per second, of a point on the outer edge of the element are, respectively:

\omega = \frac{2\pi}{60}\cdot \dot n (1)

v = R\cdot \omega (2)

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\dot n - Rotation rate, in revolutions per minute.

R - Radius of the gear, in inches.

If we know that \dot n = \frac{35}{3}\,\frac{rev}{min} and R = 12\,in, then the linear and angular velocities of the gear are, respectively:

\omega = \frac{2\pi}{60}\cdot \dot n

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