a remote - controlled plane has a mass of 0.386 kg and flies in a circle with a radius of 75 m. the…
a remote - controlled plane has a mass of 0.386 kg and flies in a circle with a radius of 75 m. the centripetal force on the plane is 4.0 n. what is the tangential speed of the plane? 11 m/s 28 m/s 45 m/s 784 m/s
Answer
Explanation:
Step1: Recall centripetal - force formula
The centripetal - force formula is $F = \frac{mv^{2}}{r}$, where $F$ is the centripetal force, $m$ is the mass, $v$ is the tangential speed, and $r$ is the radius of the circular path. We need to solve for $v$. First, we can re - arrange the formula for $v$: $v^{2}=\frac{Fr}{m}$
Step2: Substitute given values
Given $F = 4.0\ N$, $m = 0.386\ kg$, and $r = 75\ m$. $v^{2}=\frac{4.0\times75}{0.386}=\frac{300}{0.386}\approx777.2$.
Step3: Calculate $v$
$v=\sqrt{777.2}\approx28\ m/s$.
Answer:
$28\ m/s$