A cyclist in the George Street Bike Challenge for Major Taylor is shooting to complete the short, but steep, climb in 30 seconds. Figure 2 shows the elevation profile for the climb and the cyclist has done some experiments to determine that he can output 775 W for 30 seconds. The bike and rider weigh 85kg, combined. The diameter of the rear tire is 65cm. Given the power and neglecting air resistance (a reasonable assumption for steep climbs), how long will it take the cyclist to go up the hill? There is no air resistance but there is friction with the road

A cyclist in the George Street Bike Challenge for Major Taylor is shooting to complete the short, but steep, climb in 30 seconds. Figure 2 shows the elevation profile for the climb and the cyclist has done some experiments to determine that he can output 775 W for 30 seconds. The bike and rider weigh 85kg, combined. The diameter of the rear tire is 65cm. Given the power and neglecting air resistance (a reasonable assumption for steep climbs), how long will it take the cyclist to go up the hill? There is no air resistance but there is friction with the road