220k views
1 vote
The 1kg rock is tied to a string and swung in a circular path as shown. The 1 meter string is tied to a post, and during the motion, the string has a 30 angle with the post. The rock makes 100 rounds in 1 minute. The centripetal force on the rock is

User Sasankad
by
4.3k points

2 Answers

5 votes

Final answer:

The centripetal force on the rock is approximately 394.79 N.

Step-by-step explanation:

The centripetal force on the rock can be found using the formula:

Centripetal force = (mass * velocity^2) / radius

Given that the mass of the rock is 1kg, the velocity is (100 rounds/1 minute) * (2π radians/round), and the radius is 1 meter, we can substitute these values into the formula to calculate the centripetal force.

Centripetal force = (1kg * ((100 rounds/1 minute) * (2π radians/round))^2) / 1 meter

After evaluating the expression, the centripetal force on the rock is equal to (approximately): 394.79 N.

User Dmeehan
by
5.5k points
2 votes

Answer: 54.8

Step-by-step explanation:

User Radderz
by
5.1k points