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1400 rev/min is equivalent to which of the following?Select one:a.​23 rad/sb.73 rad/sc.2800 rad/sd.293 rad/se.147 rad/s

Question

1400 rev/min is equivalent to which of the following?

Select one:

  • a. 23 rad/s
  • b. 73 rad/s
  • c. 2800 rad/s
  • d. 293 rad/s
  • e. 147 rad/s
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Solution

To convert revolutions per minute to radians per second, you can use the following steps:

  1. Understand that one revolution is equivalent to 2π radians.
  2. Convert minutes to seconds since the target unit is in seconds. There are 60 seconds in a minute.

Let's apply these steps to the given problem:

  1. Convert 1400 rev/min to rev/sec: 1400 rev/min ÷ 60 sec/min = 23.33 rev/sec
  2. Convert rev/sec to rad/sec: 23.33 rev/sec * 2π rad/rev = 146.6 rad/sec

So, the closest answer to 146.6 rad/sec is 147 rad/sec. Therefore, the answer is e. 147 rad/s.

This problem has been solved

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