Tangential acceleration via angular acceleration and radius¶
The tangential acceleration of a rotating body represents the change in magnitude of the velocity vector, and its vector is tangent to the path of the body.
Conditions:
Radius is constant, i.e. \(\frac{d r}{d t} = 0.\)
Links:
Equation 10-22 on p. 269 of “Fundamentals of Physics” by David Halladay et al., 10th Ed.
- tangential_acceleration¶
Tangential
acceleration.- Symbol:
a_t- Latex:
\(a_{\tau}\)
- Dimension:
acceleration
- angular_acceleration¶
-
- Symbol:
alpha- Latex:
\(\alpha\)
- Dimension:
angle/time**2
- radius_of_curvature¶
Instantaneous
radius_of_curvature.- Symbol:
r- Latex:
\(r\)
- Dimension:
length
- law¶
a_t = alpha * r- Latex:
- \[a_{\tau} = \alpha r\]