What we know
- Mass: 50 kg
- Incline angle: 20°
- Friction coefficient (μ): 0.3
Step by step
- Given
- m = 50 kg, θ = 20°, μ = 0.3
- Formula
- T = m·g·(sin θ + μ·cos θ)
- Substitute
- T = 50 × 9.80665 × (sin 20 + 0.3 × cos 20)
- Result
- T = 305.932 N
All results
Open the incline tension calculator with these numbers → and change any of them.
The physics
A rope pulling a block up a slope has to fight two things: the component of gravity acting down the incline (mg·sin θ) and kinetic friction (μ·mg·cos θ), which also points down the slope while the block moves up. Add them and, for a rope parallel to the surface, T = m·g·(sin θ + μ·cos θ).
Standard acceleration of gravity →