Answer :
Answer:
1.02 N
Explanation:
mass of block, m = 0.40 kg
radius, r = 0.7 m
14 rotations in 20.7 second
Centripetal acceleration, a = 2.55 m/s^2
The tension in the string is same as the centripetal force
T = mass x centripetal acceleration
T = 0.4 x 2.55 = 1.012 N
This question involves the concept of centripetal acceleration and centripetal force.
A. The centripetal acceleration of the wooden block is "12.6 m/s²".
B. The tension in string acting on the wooden block is "5.04 N".
A.
The centripetal acceleration of the block can be given by the following formula:
[tex]a=\frac{v^2}{r}[/tex]
where,
a = centripetal aceleration = ?
r = radius = 0.7 m
ω = angular speed = [tex]\frac{14\ rotations}{20.7\ s}(\frac{2\pi\ rad}{1\ rotation})=4.25\ rad/s[/tex]
v = linear speed = rω = (0.7 m)(4.25 rad/s) = 2.97 m/s
Therefore,
[tex]a=\frac{(2.97\ m/s)^2}{0.7\ m}[/tex]
a = 12.6 m/s²
B.
Now the tension in string will be equal to the centripetal force:
T = Centripetal Force
T = ma = (0.4 kg)(12.6 m/s²)
T = 5.04 N
Learn more about centripetal force here:
brainly.com/question/11324711?referrer=searchResults
The attached picture shows the centripetal force.
