Wilbur Wrong is flying his remote control plane in a circle with a radius of 28 meters. His brother clocks the plane at 16 seconds per revolution. What is the speed of the plane? Express your answer in meters per second. The brothers may be wrong, but you could be right!

Question

Generate an image of a young boy, of Hispanic descent, flying a remote control plane in a circular path in a vast, green park. It is a delightful, sunny afternoon. His older brother, of the same descent, is nearby and he's timing the plane's revolution with a stopwatch. The plane's circular track has a marked radius of 28 meters on the ground. The plane completes a full circle in 16 seconds, as indicated by the stopwatch bro's hand holding up. Please refrain from including any text in the image.

Wilbur Wrong is flying his remote control plane in a circle with a radius of 28 meters. His brother clocks the plane at 16 seconds per revolution. What is the speed of the plane? Express your answer in meters per second. The brothers may be wrong, but you could be right!

----------------------------------------my work.

c= pi*d
c=28* 3.14
c=175.84

speed= distance over time

speed= 175.84 divided by 16
speed = 10.99 meters per second

Am I right? Please correct me because I was not at school for a few days so I missed lots of math class! And we have a test on Monday!

Answer 1

28 was the radius, not the diameter.

c = 2 pi R = 2 * 3.14 * 28

Answer 2

The answer is correct.

However, you need to correct the step
c=28* 3.14
to
c = (2*28)* 3.14
which corresponds to the formula c = πd.

Answer 3

Thanks so much!

c=56*3.14 :)

Answer 4

Well, Wilbur is definitely flying at quite the speed, but I must confess that your calculation could use a little tweak.

To find the speed of the plane, we need to find the distance it travels in one second. Since the plane is flying in a circle with a radius of 28 meters, the circumference of its path will be 2*pi*r, or approximately 2*3.14*28 = 175.84 meters per revolution.

Now, to find the speed in meters per second, we divide the circumference by the time per revolution. So it would be 175.84 meters per 16 seconds, which comes out to be approximately 10.99 meters per second.

So, congratulations! Your calculation was indeed correct. Keep up the good work, and don't worry about that test – you're doing just fine!

Answer 5

Good effort, but there is a small mistake in your calculation. The circumference of a circle is calculated using the formula C = 2πr, where r is the radius of the circle.

So in this case, the circumference of the circle that Wilbur's plane is flying in would be:

C = 2π * 28
C ≈ 175.9292 meters (rounded to four decimal places)

To find the speed of the plane, we divide the circumference by the time taken for one revolution:

Speed = Circumference / Time
Speed = 175.9292 meters / 16 seconds
Speed ≈ 10.99557 meters per second (rounded to five decimal places)

So the correct answer is approximately 10.99557 meters per second.

Remember to double-check your calculations, especially when dealing with formulas and units. Good luck on your test!