A rotating videocamera in the parking garage goes
through 4 complete rotations in 3/4 hour. How many
rotations will it make in 1 hour?
Would this be a two part solution?
It is a proportion problem.
4 rotations in 3/4 hours
4 rotations in 45 minutes
? rotations in 60 minutes
When they are directly proportional, i.e. more time, more rotations, then you can cross multiply to get the answer:
Number of rotations = 60*4/45 = 5 1/3 rotations.
a wheel makes 4 and 7/12 revolutions per minute. if it rotates for 45 minutes , how many revolution does it make?
Yes, this problem can be solved in two steps.
Step 1: Find the number of rotations per minute
To find the number of rotations per minute, we need to divide the total number of rotations (4) by the time taken (3/4 hour).
Number of rotations per minute = 4 / (3/4) = 4 * (4/3) = 16/3 rotations per minute
Step 2: Find the number of rotations in 1 hour
Since there are 60 minutes in an hour, we can multiply the number of rotations per minute by 60 to find the number of rotations in 1 hour.
Number of rotations in 1 hour = (16/3) * 60 = 320/3 rotations
So, the rotating videocamera will make 320/3 rotations in 1 hour.
To solve this problem, you can approach it in two parts:
Part 1:
First, calculate the number of rotations per minute.
Given that the camera goes through 4 complete rotations in 3/4 hour, you can find the number of rotations per minute by dividing 4 by 45 (since there are 60 minutes in an hour and 3/4 hour is equal to 45 minutes).
4 rotations ÷ 45 minutes = ____ rotations per minute
Part 2:
Once you know the number of rotations per minute, you can calculate the number of rotations in 1 hour.
Since there are 60 minutes in an hour, you can multiply the number of rotations per minute by 60 to find the number of rotations per hour.
____ rotations per minute × 60 minutes = ____ rotations per hour
By solving both parts, you will be able to determine the number of rotations the camera will make in 1 hour.