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How to calculate RPM of stepper motor?

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Calculating the RPM (Revolutions Per Minute) of a stepper motor involves knowing the motor’s step angle and the step rate. Here’s a detailed step-by-step guide:

### 1. **Understand the Step Angle:**
   - **Step Angle**: The angle by which the stepper motor shaft moves with each step. It is usually provided in degrees and is often one of the following common values: 1.8°, 0.9°, or 0.72°.

### 2. **Determine the Step Rate:**
   - The step rate is how many steps the motor takes per second. This value is usually controlled by the stepper motor driver and can be measured using an oscilloscope or calculated based on the control signals sent to the motor.

### 3. **Calculate the RPM:**

   **Formula:**
   \[
   \text{RPM} = \frac{\text{Step Rate (steps per second)} \times 60}{\text{Steps per Revolution}}
   \]

   - **Steps per Revolution**: This is determined by the step angle and is given by:
     \[
     \text{Steps per Revolution} = \frac{360^\circ}{\text{Step Angle}}
     \]
     
     For example, if the step angle is 1.8°, then:
     \[
     \text{Steps per Revolution} = \frac{360^\circ}{1.8^\circ} = 200 \text{ steps}
     \]

   - **Example Calculation**:
     Suppose your stepper motor has a step angle of 1.8° and your step rate is 1000 steps per second. First, calculate the steps per revolution:
     \[
     \text{Steps per Revolution} = \frac{360^\circ}{1.8^\circ} = 200
     \]
     
     Now, calculate the RPM:
     \[
     \text{RPM} = \frac{1000 \text{ steps per second} \times 60}{200} = 300 \text{ RPM}
     \]

### 4. **Example Scenario:**

   - **Motor Step Angle**: 1.8°
   - **Step Rate**: 800 steps per second

   **Steps per Revolution**:
   \[
   \text{Steps per Revolution} = \frac{360^\circ}{1.8^\circ} = 200
   \]

   **RPM Calculation**:
   \[
   \text{RPM} = \frac{800 \text{ steps per second} \times 60}{200} = 240 \text{ RPM}
   \]

### Summary:

To calculate the RPM of a stepper motor, you need to know the step angle to determine the steps per revolution and then use the step rate to find out how fast the motor is rotating in RPM. This calculation helps in understanding the performance of the stepper motor in various applications.
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Calculating the RPM (revolutions per minute) of a stepper motor involves understanding a few key parameters: the step angle of the motor, the number of steps per revolution, and the step frequency or pulse rate provided by the controller. Here's a step-by-step guide on how to calculate it:

### 1. **Determine the Step Angle:**
   The step angle is the angle through which the stepper motor shaft rotates with each step. It's usually specified in degrees per step. Common step angles are 1.8° (200 steps per revolution) and 0.9° (400 steps per revolution).

### 2. **Find the Number of Steps per Revolution:**
   This is calculated as:
   \[
   \text{Steps per Revolution} = \frac{360^\circ}{\text{Step Angle}}
   \]
   For example, if the step angle is 1.8°, then:
   \[
   \text{Steps per Revolution} = \frac{360^\circ}{1.8^\circ} = 200 \text{ steps}
   \]

### 3. **Measure the Step Frequency:**
   This is the frequency of the control pulses sent to the stepper motor driver. It is usually measured in Hertz (Hz), where 1 Hz = 1 pulse per second.

### 4. **Calculate the RPM:**
   Use the following formula to convert the step frequency to RPM:
   \[
   \text{RPM} = \frac{\text{Step Frequency} \times 60}{\text{Steps per Revolution}}
   \]
   Here's a breakdown:
   - Multiply the step frequency by 60 to convert the frequency to steps per minute.
   - Divide by the number of steps per revolution to get the number of revolutions per minute.

### **Example Calculation:**

Suppose you have a stepper motor with a step angle of 1.8° (200 steps per revolution) and the step frequency is 500 Hz.

1. **Determine the Steps per Revolution:**
   \[
   \text{Steps per Revolution} = \frac{360^\circ}{1.8^\circ} = 200
   \]

2. **Calculate RPM:**
   \[
   \text{RPM} = \frac{500 \text{ Hz} \times 60}{200}
   \]
   \[
   \text{RPM} = \frac{30000}{200} = 150 \text{ RPM}
   \]

So, with a step frequency of 500 Hz, the stepper motor would be rotating at 150 RPM.

### **Important Considerations:**
- **Microstepping:** If your driver uses microstepping (e.g., 1/2, 1/4, 1/8 steps), the number of steps per revolution will be higher. For example, if microstepping is set to 1/4, then the effective number of steps per revolution becomes \(200 \times 4 = 800\).

- **Driver and Controller Settings:** Ensure that the settings on your stepper motor driver and controller are correctly configured, as they affect the actual stepping and pulse frequency.

By using these steps, you can accurately determine the RPM of your stepper motor based on its operating conditions.
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