Moment Rotating Shaft

Overview

Engineering reference data for Moment Rotating Shaft in mechanics.

Key Formulas

Newton's Second Law

$F = ma$

Force = mass × acceleration.

Work

$W = Fd\cos\theta$

Work = force × displacement × cos(angle).

Kinetic Energy

$E_k = \frac{1}{2}mv^2$

Energy of motion.

Potential Energy

$E_p = mgh$

Gravitational potential energy.

Variables

Symbol	Description	Unit
$F$	Force	N
$m$	Mass	kg
$a$	Acceleration	m/s²
$v$	Velocity	m/s

Example Calculation

A car combustion engine delivers 100 hp at 5000 rpm. The torque on the output shaft can be calculated using the provided formula:

$$T = \frac{63057 \times \Php}{n} = \frac{63057 \times 100 \, \text{hp}}{5000 \, \text{rpm}} = 12611 \, \text{lb·in}$$

Converting to SI units (1 lb·in = 0.113 Nm):

$$12611 \, \text{lb·in} \times 0.113 \, \frac{\text{Nm}}{\text{lb·in}} \approx 143 \, \text{Nm}$$

Unit Conversions

Key conversions for common units in shaft power and torque calculations:

• Horsepower to Watts: $1 \, \text{hp (English)} = 745.7 \, \text{W}$
• Pound-inch to Newton-meter: $1 \, \text{lb·in} = 0.113 \, \text{Nm}$

References

• Original Source