Part A
F = 50 N is the force applied along the purple vector
r = 1.5 is the radius (half the diameter 3)
theta = 110 is the angle in which the force vector is applied
Use this formula to plug in the values to find the torque T
T = F*r*sin(theta)
T = 50*1.5*sin(110)
T = 70.4769
<h3>Answer: The torque applied is approximately 70.4769 Newton-meters</h3>
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Part B
Refer back to the formula in part A. If theta is the variable, then T maxes out when theta = 90 degrees, because sin(theta) is maxed out at 1 here. If theta = 90, then T = F*r. The torque is maxed out when the force vector is perpendicular to the original position vector, this way you get the most push leading to the highest twisting or turning force possible.
<h3>Answer: 90 degrees</h3>
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Part C
Use the values from part A, but make theta = 90 so that the torque T is maxed out. So we would get the following
T = F*r*sin(theta)
T = 50*1.5*sin(90)
T = 50*1.5*1
T = 75
<h3>Answer: The max torque possible is 75 Newton-meters</h3>
Using proportions, it is found that the same job will take Mrs. Squirrel 6 hours.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The times are given as follows:
- Mr. Pigeon: 30 minutes = Half an hour = 1/48 day.
The ratios are as follows:
Turtle/Squirrel = Squirrel/Pigeon.
Hence:
x = 1/4.
It takes 1/4 of a day for Mrs. Squirrel to do the job, hence 1/4 x 24 hours = 6 hours.
More can be learned about proportions at brainly.com/question/24372153
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There are 365 days in a year.
So in 4 years, there are 365 × 4 = 1460 days.
However, every 4 years, there is also a "leap day." (an additional day in February of years divisible by 4 to balance the calendar)
After adding this day, we would have 1461 days in 4 consecutive years.
<em>
</em><em>*Note: There are exceptions to when leap years happen, so on some 4 year periods there is no leap year. In that case, there could be just 1460.</em>
150.
All the angles in a pentagon sum to 540
Answer:
y=3x-16
Step-by-step explanation:
-3y=-9x+27
y=3x-9
slope: 3
y-2=3(x-6)
y-2=3x-18
y=3x-16
