Gyroscope Stabilizer Control Unit Design
Budget: $250 – $750 USD
Gyro Stablizer Unit Request for Bid.
Angular Momentum:
The gyroscope must have enough angular momentum to counteract the angular momentum of the spin. The formula for angular momentum (L) of a gyroscope is:
L=Iω
where I is the moment of inertia of the gyroscope, and ω is its angular velocity.
Gyro Size and Speed:
Size: 7cm to 9cm
Speed: Higher speed (ω)
Estimation:
Rough Calculation:
Target RPM I desire is variable speed 1000 to 5000 RPM with a variable ability. and Hold ability.
Let's assume a moment of inertia about the vertical axis (very roughly, around 3-5 kg·m²
The plate 12 inches x 12 inches is spinning 1 revolution per second (6.28 rad/s), your angular momentum would be about 18.84 kg·m²/s to 31.4 kg·m²/s.
If the gyro spins at 1000 rpm (about 104.7 rad/s), to match this, its moment of inertia would need to be:I_{gyro} = \frac{L}{\omega_{gyro}} = \frac{18.84}{104.7} \approx 0.18 \text{ kg·m² for the lower end}
This calculation scales up or down with actual spin rate and desired stabilization speed.
Practical Gyro:
A commercial gyro with a rotor diameter of about 7 to 9 cm might suffice if it can spin at high speeds. However, I need the size to be no larger than 9 cm:
Power: Adequate power supply ( battery) to maintain high RPM. for 1hr
Control: Some form of control mechanism to adjust the gyro's orientation or speed to counteract the spin.
It must be controlled by a cell phone app that can be downloaded through google app store.
Most important!!!! There must be a 2nd control unit other than the cell phone app similar to a handheld drone controller unit sized to fit in one hand to control left / right/ and hold in a stable position.
Angular Momentum:
The gyroscope must have enough angular momentum to counteract the angular momentum of the spin. The formula for angular momentum (L) of a gyroscope is:
L=Iω
where I is the moment of inertia of the gyroscope, and ω is its angular velocity.
Gyro Size and Speed:
Size: 7cm to 9cm
Speed: Higher speed (ω)
Estimation:
Rough Calculation:
Target RPM I desire is variable speed 1000 to 5000 RPM with a variable ability. and Hold ability.
Let's assume a moment of inertia about the vertical axis (very roughly, around 3-5 kg·m²
The plate 12 inches x 12 inches is spinning 1 revolution per second (6.28 rad/s), your angular momentum would be about 18.84 kg·m²/s to 31.4 kg·m²/s.
If the gyro spins at 1000 rpm (about 104.7 rad/s), to match this, its moment of inertia would need to be:I_{gyro} = \frac{L}{\omega_{gyro}} = \frac{18.84}{104.7} \approx 0.18 \text{ kg·m² for the lower end}
This calculation scales up or down with actual spin rate and desired stabilization speed.
Practical Gyro:
A commercial gyro with a rotor diameter of about 7 to 9 cm might suffice if it can spin at high speeds. However, I need the size to be no larger than 9 cm:
Power: Adequate power supply ( battery) to maintain high RPM. for 1hr
Control: Some form of control mechanism to adjust the gyro's orientation or speed to counteract the spin.
It must be controlled by a cell phone app that can be downloaded through google app store.
Most important!!!! There must be a 2nd control unit other than the cell phone app similar to a handheld drone controller unit sized to fit in one hand to control left / right/ and hold in a stable position.