The acceleration experienced during the lift-off of a Boeing 747 can vary depending on factors such as the aircraft's weight, thrust, and takeoff speed. However, I can provide you with a general estimate.
During takeoff, a typical commercial aircraft like the Boeing 747 experiences an acceleration of around 0.3 to 0.4 g (or 3 to 4 m/s²). This means that passengers would feel a force equivalent to approximately one-third to one-fourth of Earth's gravity pushing them backward into their seats.
It's important to note that this value represents the acceleration experienced, not the total force or gravitational force acting on the passengers. The actual force experienced by passengers during takeoff can be greater due to the combined effect of the aircraft's acceleration and the force of gravity.
Additionally, once the aircraft is airborne, the acceleration decreases as it gains altitude and achieves a more level flight. Passengers would then typically experience a sensation of reduced acceleration and would not feel the same level of force as during takeoff.
Please keep in mind that the specific acceleration values can vary depending on the aircraft model, takeoff conditions, and other factors, but the range mentioned above should give you a general idea of the forces experienced during takeoff in a Boeing 747.