A pulley system consists of a 10-inch wheel and another whose radius is unknown. A point on the rim of the wheel of unknown radius moves 450 inches when it revolves through an angle of 225 degrees. Fi

To solve this problem, we can use the formula: distance = radius x angle We know that the point on the rim of the wheel of unknown radius moves 450 inches, and it revolves through an angle of 225 degrees. Let's call the radius of this wheel "r". So we have: 450 = r x 225 Solving for "r", we get: r = 450/225 r = 2 inches Now we can use the same formula to find the angle the 10-inch wheel turns through. Let's call the angle "x". We know that the radius of the 10-inch wheel is 5 inches (half of the diameter). So we have: 450 = 5x Solving for "x", we get: x = 90 degrees Therefore, the 10-inch wheel turns through an angle of 90 degrees.