Each full rotation of the circle equates to 360°.
When the circle has rotated through 1000° it has rotated 1000/360 = 2.7778 times.
Each rotation means that a spot on the perimeter travels a distance of 2πr = πD inches.
A rotation of 1000° means the spot has travelled 2.7778 x 4π = 34.91 inches (2dp)
Mercury is locked into a 3/2 spin-orbit resonance where it rotates three times on its axis for every two orbits around the sun
Well, honey, a cone can't roll in a straight line because of its shape. It's like asking a square to roll smoothly without wobbling. Physics just ain't gonna let that happen, sweetie. So, in short, no, a cone can't roll in a straight line.
All circles are plane curves drawn by a point that rotates 360 degrees at a constant distance from a fixed point.
A larger diameter wheel rotates a fewer number of times to cover the same distance as a smaller wheel.
Each hour, it rotates through 30 degrees, every twelve hours, it rotates 360 degrees.
The longitudinal distance for a time difference of one hour is approximately 15 degrees. This is because Earth rotates 360 degrees in 24 hours, so in one hour it covers 1/24th of the total 360 degrees, which equals 15 degrees.
Venus
There are a couple of ways to look at this problem, so the wording is very important. The question you ask is the distance actually traveled, which is measured along the outside of the circle. Because the circle turns 100 degrees, or 100/360 of a full rotation, and the circumference is 4*pi, this distance is (100/360)*(4*pi) = 3.49 inches (approx) You can also ask what the displacement of the point is, which is the straight-line distance from its starting point to the ending point and is measured along the chord drawn between the points. This distance is the base of an isosceles triangle with equal sides of length 2 inches and an angle of 100 degrees between them. One way to calculate that length is to apply the law of sines (and note that the remaining two interior angles have measure 40 degrees): base = (2 / sin 40) * sin 100 = 3.06 inches (approx)
It rotated 15 degrees, because 360 divided by 24 is 15, and 15 times 3 is 45.
90 degrees
A right angle
In general, you can't convert between hours and degrees. However, if you have an object that rotates at a specified rate, you can say that the object rotates at so-and-so many degrees per hour, per second, etc. For example, Earth rotates at about 15 degrees/hour.
The Earth rotates 360 degrees in a 24-hour period, so in a 12-hour period, it would rotate 180 degrees on its axis.
It rotates 25*360 = 9000 degrees.