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3 years ago

What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for π

1 answer:

3 0

1) Calculate the whole arc (complete circumference):

Circumference = 2π*radius

radius = 6 foot

=> Circumference = 2 * 3.14 * 6 foot = 37.68

2) Calculate the time to make a whole round, by making a proportion with the two ratios:

ratio 1 = x / 37.68 =

ratio 2 = 3 / 14.13

ratio 1 = ratio 2 =>

   x 3s
---------- =   -----------
37.68 ft    14.13 ft

=> x = 3 * 37.68 / 14.13 = 8 s

3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.

So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s

Answer: 0.785 rad / s

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3 years ago

The formula for finding the perimeter, P, of a rectangle with length l and width w is given. P=2l+2w

Ivenika [448]

Answer:

The formula to determine the length of rectangle with perimeter and width is L = $\frac{P - 2W}{2}$

Step-by-step explanation:

Given as :

The perimeter of rectangle = P

The length of rectangle = L

The width of rectangle = W

∵ Perimeter of rectangle given as P = 2 × Length + 2 × Width

I.e P = 2 L + 2 W

Or, 2 L = P - 2 W

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2 years ago

B is the midpoint of AC if AB equals X +5 and BC equals 2X -11 find the measure of AB

Anna11 [10]

Answer:

AB = 21

Step-by-step explanation:

The midpoint divides the segment into two congruent parts, so you have ...

AB = BC

x +5 = 2x -11 . . . substitute the given expressions for AB and BC

16 = x . . . . . . . . add 11-x

Then the measure of AB is ...

AB = x +5 = 16 +5 = 21

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2 years ago

A diver swims 20 m under water to the anchor of a buoy that is 10 m below the surface of the water. On the surface how far is th

djverab [1.8K]

Answer:

There the buoy is 17.3 m from the place where the diver started.

Step-by-step explanation:

a² + b² =c²

⇒ 10² + b² = 20²

⇒ 100 + b² = 400

⇒ b² = 400 - 100

⇒ b²= 300

⇒ b = $\sqrt{300}$

⇒ b = 17.3 m

There the buoy is 17.3 m from the place where the diver started.

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2 years ago

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Vesnalui [34]

<h2>Question 1: </h2>

Answer: 8x

<h2>Question 2:</h2>

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hope it helps.

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2 years ago