# Calculate the rotational frequency in r/s and the diameter of the drive pulley

• MHB
• mikeystrike
In summary, rotational frequency in r/s is calculated by multiplying the number of revolutions per minute (RPM) by 2π/60. This calculation is significant in determining the speed of a rotating object, which is crucial in designing and optimizing mechanical systems. The diameter of a drive pulley can be measured accurately using a caliper, and it has an inverse relationship with rotational frequency. A larger diameter pulley results in slower speed and greater torque, while a smaller diameter pulley leads to faster speed and less torque. The diameter also affects the overall size and weight of the system, which can impact its efficiency and performance.
mikeystrike
a belt is driven by a pulley at 33m/s the pulley rotates at 750 r/min. calculate:

(a) the rotational frequency in r/s

(b) the diameter of the drive pulley

Re: need help

mikeystrike said:
a belt is driven by a pulley at 33m/s the pulley rotates at 750 r/min. calculate:

(a) the rotational frequency in r/s

(b) the diameter of the drive pulley

Welcome to MHB!

What have you tried?

## 1. How do you calculate the rotational frequency in r/s?

To calculate the rotational frequency in r/s, you need to know the number of revolutions per minute (RPM) and the conversion factor of 1 revolution per minute to radians per second (2π radians/sec). Then, you can use the formula: rotational frequency (r/s) = RPM x 2π/60.

## 2. What is the significance of calculating rotational frequency in r/s?

Calculating rotational frequency in r/s is important because it helps determine the speed at which a pulley or any rotating object is moving. This information is crucial in designing and optimizing mechanical systems.

## 3. How can I measure the diameter of a drive pulley?

The most accurate way to measure the diameter of a drive pulley is by using a caliper. Place the caliper on the edge of the pulley and tighten it until it is snug. Then, read the measurement on the caliper. Alternatively, you can use a ruler or measuring tape, but these methods may not be as precise.

## 4. What is the relationship between rotational frequency and pulley diameter?

There is an inverse relationship between rotational frequency and pulley diameter. This means that as the diameter of the pulley increases, the rotational frequency decreases. This relationship is described by the formula: rotational frequency (r/s) = speed (m/s) / circumference (m).

## 5. How does the diameter of the drive pulley affect the mechanical system?

The diameter of the drive pulley affects the mechanical system in several ways. A larger diameter pulley will result in slower rotational speed, but can also provide greater torque. On the other hand, a smaller diameter pulley will lead to a faster rotational speed, but with less torque. The diameter also affects the overall size and weight of the system, which can impact its efficiency and performance.

• General Math
Replies
6
Views
2K
• General Math
Replies
2
Views
7K
• Mechanical Engineering
Replies
3
Views
2K
• Classical Physics
Replies
7
Views
993
• Mechanical Engineering
Replies
2
Views
2K
• Mechanical Engineering
Replies
19
Views
1K
• Introductory Physics Homework Help
Replies
24
Views
2K
• DIY Projects
Replies
7
Views
2K
• Introductory Physics Homework Help
Replies
11
Views
2K
• Introductory Physics Homework Help
Replies
40
Views
2K