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sveticcg [70]
3 years ago
12

The angular velocity of a point with radius 8 feet is 10 pi radians per second. Find the speed of the point.

Mathematics
2 answers:
Monica [59]3 years ago
6 0

Answer:

80π feet/ second.

Step-by-step explanation:

Angular velocity of a point = 10π radians per second

Radius of the circle is 8 feet.

We know the formula of angular velocity is

Angular velocity = \frac{speed}{radius}

10π = \frac{speed}{8}

Speed = 80π feet/ second.

Option C is the answer.

____ [38]3 years ago
6 0

Answer: 80\pi\text{ ft/sec}

Step-by-step explanation:

Formula : \text{Speed= Angular velocity x Radius}   (1)

We are given that , The angular velocity of a point with radius 8 feet is 10 pi radians per second.

i.e. Radius = 8 feet

Angular velocity = 10\pi radians per second.

Then, the speed of the point will be :-

\text{Speed= }10\pi \times 8   [using (1)]

=80\pi\text{ ft/sec}

Hence, the speed of the point =80\pi\text{ ft/sec}

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