Apoint on the edge of a flywheel with a radius of 16 cm is rotating at a rate of 10 radians per second. what is the linear speed of a point on its rim, in centimeters per minute?

9600 cm/min

Explanation:

Well, the circumference of the flywheel is 2π×the radius(16 cm). That's how far the spot moves in one revolution.

10 radians per second divided by 2π is the number of revolutions per second.

So multiply that times the circumference and that's the distance the point has traveled.

let the linear speed of the spot be v

therefore, v= 160×60= 9600 cm/min

americans began to notice growing differences between the northern and southern sections of the country. there were more people living in cities in the north, which made it more urban. more people lived on farms in the south, which made it more rural. while many people were farmers in the northern states, there were now other ways to make a living, such as working in mechanical cotton gins factories manufacturing cloth, tools and other goods. people in the north supported high tariffs on goods imported from europe because the extra cost encouraged people to “buy american” instead. in the southern states, planters did not like tariffs because they sold most of their production to europe and bought their tools from there as well. southerners believed the protective tariff was something that only northern factory owners keep their profits high. so the southern politicians came up with an idea. they would opt out. they would simply ignore the protective tariff. it was ‘null and void’ in south carolina. the state would not collect the taxes on goods imported into south carolina, no matter what the president said they had to do. this decision led to the nullification crisis.

kelp are large brown algae that live in cool, relatively shallow waters close to the shore. they grow in dense groupings much like a forest on land. these underwater towers of kelp provide food and shelter for thousands of fish, invertebrates, and marine mammal species.

e) all of the above