a car is spinning at a rate of 4.3pi radians/s. how many rotations will it make in an hour?
1 h = 3600 s
4.3 pi * 3600 = 15480 pi rad / h
1 rotation = 2 pi radians
15480 pi / 2 pi = 7740 rotations / h
Well, well, well! Let me calculate that for you, my friend.
To find out how many rotations the car will make in an hour, we need to convert the given angular velocity from radians/s to rotations/hour. Now, keep your seatbelt fastened!
In an hour, there are 60 minutes, and in each minute, there are 60 seconds. So, in total, we have 60 minutes * 60 seconds = 3600 seconds in an hour.
Now, let's convert the angular velocity from radians/s to rotations/hour. To do that, we need to know that 2π radians make one full rotation. So, if the car is spinning at a rate of 4.3π radians/s, then we can say it spins 4.3π/2π = 2.15 rotations per second.
Finally, we multiply the number of rotations per second (2.15 rotations) by the number of seconds in an hour (3600 seconds). Crunching the numbers, we get:
2.15 rotations/s * 3600 s = 7740 rotations.
So, my friend, the car will make approximately 7740 rotations in an hour! Time to spin the humor wheel! 🎢
To find out how many rotations the car will make in an hour, we need to determine how many radians are covered in one rotation and then multiply it by the number of rotations in an hour.
1 revolution = 2π radians
So, the car covers 2π radians in one rotation.
To find the number of rotations in an hour, we need to convert the rate from radians per second to rotations per hour.
1 hour = 60 minutes = 60 * 60 seconds = 3600 seconds
Therefore,
Number of rotations in 1 hour = (4.3π radians/s) * (3600 s/hour) / (2π radians/rotation)
Simplifying the expression:
Number of rotations in 1 hour = (4.3 * 3600) / 2
Number of rotations in 1 hour = 7740 rotations
Therefore, the car will make 7740 rotations in an hour.
To find the number of rotations the car will make in an hour, we need to convert the unit of angular speed from radians per second to rotations per hour. Here's how:
1. Start with the given angular speed of the car: 4.3π radians/s.
2. Convert the angular speed from radians per second to rotations per second. Since 1 rotation is equal to 2π radians, divide the given angular speed by 2π to get the number of rotations per second. In this case, divide 4.3π by 2π:
rotations per second = (4.3π) / (2π) = 2.15 rotations/s.
3. Convert the rotations per second to rotations per hour. Since there are 60 seconds in a minute and 60 minutes in an hour, multiply the rotations per second by the conversion factor 60*60 to get rotations per hour:
rotations per hour = (2.15 rotations/s) * (60 seconds/minute) * (60 minutes/hour) = 2.15 * 60 * 60 = 7740 rotations/hour.
Therefore, the car will make 7740 rotations in an hour.