Speed climbing is a sport in which climbers try to scale rocks or walls as quickly as possible. In 2017, Reza Alipour set the speed climbing world record by climbing a 15m wall in 5.48 seconds. Alipour’s mass is 76kg. What is the average power he needed to expend in order to achieve his world record?
Question
Answer:
The average power of the climber is 1.03 kW.
Explanation:
Given that,
Mass of Alipour, m = 76 kg
In 2017, Reza Alipour set the speed climbing world record by climbing a 15 m wall in 5.48 seconds. We need to find the average power he needed to expend in order to achieve his world record.
The rate at which the work is done is called power of an object. It is given by :
[tex]P=\dfrac{W}{t}[/tex]
W is the work done, W = mgh
[tex]P=\dfrac{mgh}{t}\\\\P=\dfrac{76\ kg\times 9.8\ m/s^2\times 15\ m}{5.48\ s}\\\\P=2038.68\ W[/tex]
or
P = 1.03 kW
So, the average power of the climber is 1.03 kW. Hence, this is the required solution.