Genesis wants to ride her bicycle 31 miles this week. She has already ridden 7 miles. If she rides for 4 more days, write and so
1 answer:
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The height of the screw = 16 inches.
<h3>How do you determine the number of revolutions in a circle?</h3>The total distance covered in one revolution will be equal to the perimeter of the wheel. Finally, to find the total number of revolutions, divide the total distance by distance covered in one revolution.
Given that,
Diameter of a bicycle = 16 inches
The distance the bike moves (forward) after the screw punctures the tire = 56π inches
We note that the circumference of the bicycle = π·D = π × 16 = 16π inches
Therefore,
= 3.5
Showing that the bicycle moves three and half complete turns (revolution) where after each complete turn, the screw starts from the bottom of the tire.
The height, h of the screw in the final half turn is given by the relation;
h = A cos(Bx - C) + D
Where
A = Amplitude of the motion = Diameter/2 = 16/2 = 8
P = The period of the motion 2π/B
Bx = The angle described by the motion = Half of one revolution = π = 180°
C = Phase shift = π
D = The mid line = Diameter/2 = 8 inches
Therefore;
h = 8×cos(π - π) + 8 = 16 inches
Hence, After the bike moves forward another 56π inches the height of the screw = 16 inches.
To learn more about number of revolution from the given link:
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Answer:
Step-by-step explanation:
Given:
Let's changed that mixed number to an improper fraction. Now we get:
Let's find out least common denominator. This one is easy, the LCD is 8. Now that we know the LCD, let's convert both our fractions:
We can use because it is equal to
. Now, all we need to do is subtract the numerators: