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ss7ja [257]
3 years ago
13

How do I complete this question on arc length?

Mathematics
2 answers:
tresset_1 [31]3 years ago
5 0

Answer:

v ≈ 8.5 km/h

Step-by-step explanation:

Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.

Use the radius of the water wheel to find it's circumference C:

C=2\pi r                                               [set r = 1.5 m]

⇒ C=2\pi (1.5)

⇒ C=3\pi m

One revolution of the water wheel corresponds to 3\pi meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:

15(3\pi ) = 45\pi m/min

Using this result, the speed of the river in kilometers per hour will be:

v=\frac{45\pi m }{1 min} ×  \frac{1 km}{1000 m} × \frac{60 min}{1 h}

⇒ v=8.48230016469  km/h

⇒ v ≈ 8.5 km/h

Nikolay [14]3 years ago
3 0

Answer:

≈ <em>8 km per hour</em>

Step-by-step explanation:

C = \pi d

C = \frac{66}{7}

Velocity = \frac{66}{7} × 15 = \frac{990}{7} ( meters per minute ) = \frac{0.99}{7} × 60 ≈ <em>8.5 km/h</em>

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