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Plane Pull Force People

Reference data and engineering information about plane pull force people for mechanics applications.

planepullforcepeopleCalculator

Overview

Engineering reference data for Plane Pull Force People in mechanics.

Key Formulas

Newton's Second Law

F=maF = ma

Force = mass × acceleration.

Work

W=FdcosθW = Fd\cos\theta

Work = force × displacement × cos(angle).

Kinetic Energy

Ek=12mv2E_k = \frac{1}{2}mv^2

Energy of motion.

Potential Energy

Ep=mghE_p = mgh

Gravitational potential energy.

Variables

SymbolDescriptionUnit
FFForceN
mmMasskg
aaAccelerationm/s²
vvVelocitym/s

Example Calculations

Pulling Truck Mass Calculation

With a rolling resistance force of 7848 N, a friction coefficient of 0.9 between rubber wheels and dry tarmac, and assuming a direct connection close to the tarmac:

mf=Frμag=7848 N0.99.81 m/s2889 kgm_f = \frac{F_r}{\mu \cdot a_g} = \frac{7848 \text{ N}}{0.9 \cdot 9.81 \text{ m/s}^2} \approx 889 \text{ kg}

People Required to Pull an Aircraft

When people pull the aircraft, the rope angle introduces a force vector relationship. The minimum vertical force (or weight) depends on the bending angle θ\theta:

W=tan(θ)FrW = \tan(\theta) \cdot F_r

For a 45° bending angle: W=tan(45)7848 N=7848 NW = \tan(45^\circ) \cdot 7848 \text{ N} = 7848 \text{ N} mf=Wag=7848 N9.81 m/s2889 kgm_f = \frac{W}{a_g} = \frac{7848 \text{ N}}{9.81 \text{ m/s}^2} \approx 889 \text{ kg} At 80 kg per person: n=889 kg/80 kg/person11.112 peoplen = 889 \text{ kg} / 80 \text{ kg/person} \approx 11.1 \rightarrow 12 \text{ people}.

For a more realistic 60° bending angle: W=tan(60)7848 N1.7327848 N13593 NW = \tan(60^\circ) \cdot 7848 \text{ N} \approx 1.732 \cdot 7848 \text{ N} \approx 13593 \text{ N} mf=Wag=13593 N9.81 m/s21386 kgm_f = \frac{W}{a_g} = \frac{13593 \text{ N}}{9.81 \text{ m/s}^2} \approx 1386 \text{ kg} At 80 kg per person: n=1386 kg/80 kg/person17.318 peoplen = 1386 \text{ kg} / 80 \text{ kg/person} \approx 17.3 \rightarrow 18 \text{ people}.

References